Lubna 7 answers
What is the formula for area of all shapes?
Shahab
88 answers
Hi, I’m working on my maths homework, and we need to know the formulas for finding the area of different shapes. Does anyone have a list of the area formulas for things like triangles, circles, and other shapes?
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Answers
Dev
I assume all the shapes are regular 2D shapes. I would recommend drawing say a square to start off with, and dividing it up into 4 isosceles triangles with the apex at the centre - when you are generalising to N sides, then you would have N triangles. Try to find the area of one of these triangles and then you can work out the area of the whole shape! Hope that helps :))
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Solayman Bhuiyan
Start with a square, we know the area of a square is A = Length x Width. We also know this equation is true for rectangle; now imagine triangles, how do we make a triangle from a rectangle/square. By cutting these 4 sided shapes like square/rectangle diagonally, we can get any triangle by cutting it in half, where A = 1/2 x (H x B).
Circle A = (pi x r^2). If there's any other shape you would like help with, just reply back.
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Samuel
Area of a Square = Length × Length ( L × L)
Area of rectangle = Length × Width (L × W)
Area of a Triangle = 1/2 × base × height (1/2× b × h)
Area of a Circle = π × radius × radius
Area of Parallelogram = base × height (b × h)
Area of Trapezium = 1/2(a + b)h
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1
Areas of 2 dimensional figures
Square: Area = side × side
Rectangle: Area = length × breadth
Triangle: Area = 1/2 × base × height
Equilateral triangle: Area = √3/4×side^2
Parallelogram: base×height
Rhombus: base×height (OR) 1/2 × diagonal 1 × diagonal 2
Trapezium ( OR) Trapezoid:
1/2 × height ×( length of parallel side 1+ length of parallel side2)
Circle: Area = πr^2, where r is the radius of the circle and π is a constant with an approximate value of 22/7 or 3.14
Rectilinear shape( a two-dimensional (2D) flat shape with straight sides that meet at right angles (90 degrees) Split the shape into rectangles and use the formula Area = width × length for each rectangle, then add the separate areas together.
Other 2D shapes : Split the shape into triangles and use the formula Area = 1/2×width × length for each triangle, then add the separate areas together
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Area of a triangle is it's base times the length of it's HEIGHT and then divide by 2.
A square and rectangle is length times is width. Area of trapezium is it's top length plus it's base length and multipied by half the distance between these two lengths. Area of a parallelogram is it's base length multiplied by it height from this base. Area of a kite and rhombus is multiply their diagonals and divide by 2.
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Different shapes have diferrent ways of calculating their area however there are common shapes like the rectangle,triangle and square which you can use a basic formula. i.e
Area of rectangle= L x W
Square= LX W or side x 4
Triangle = Half base x Height
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Loubna
The surface area of a 3D shape is the total area of all its faces. × area of base × vertical height.
The area of a square and rectangle is length x width.
I hope this helps. Let me know if you need more help.
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The triangle area=1/2 x base x height
The circle Area =pie x r2 while r is the radius
The square area is size x size
The Rectangle Area = length width
The parallelogram Area = base x height
The Rhombus Area=1/2 x diagonal 1 x diagonal 2
The Ellipse Area= pie x major axis x minor axis
The Trapezoid Area=sum of the bases x height
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1. Squ
Example: For a square with side length 4 units, Area = square units.
2. Rectangle
Example: For a rectangle with length 5 units and width 3 units, Area = square units.
3. Triangle
Formula:
Example: For a triangle with base 6 units and height 4 units, Area = square units.
4. Circle
Formula:
Example: For a circle with radius 3 units, Area = square units (approx.).
5. Parallelogram
Formula:
Example: For a parallelogram with base 5 units and height 2 units, Area = square units.
6. Trapezoid
Formula:
Example: For a trapezoid with base1 = 6 units, base2 = 4 units, and height = 3 units, Area = square units.
7. Ellipse
Formula:
Example: For an ellipse with a major axis of 5 units and a minor axis of 3 units, Area = square units (approx.).
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The big thing is keep it simple. Basic shapes: Triangle, height x base divided by 2. Square /rectangle. width x length. Trapezium. add the parallel lines together then divide by 2 and multiply by the height. Parallelogram. Height x base. After that you get into circles, area for the whole circle is Pi (3.142) x the radius squared.
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1. Square:
Area=s^2
where s is the length of a side.
2. Rectangle:
Area=l×w
where l is the length and w is the width.
3. Triangle:
Area=1/2×b×h
where b is the base and h is the height.
4. Circle:
Area=πr2
where r is the radius.
5. Parallelogram:
Area=b×h
where b is the base and h is the height.
6. Trapezoid (or Trapezium):
Area=1/2×(b1+b2)×h
where b1 and b2 are the lengths of the parallel sides, and h is the height.
7. Ellipse:
Area=πa×b
where a and b are the lengths of the semi-major and semi-minor axes.
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I'll chip in by saying do a little Google search of "formulas for areas and volumes of most 2D shapes". The area can be for a particular face or for the total surface area. In the latter case just add the individual faces for a 3D shapes. Or you can do that individually: a triangle, a square, a rectangle, rhombus, trapezium, parallelogram, kite, circle, etc. Some shoes may be compound so break it down appropriately and add the areas
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A standard list is easily available on the internet. In an exam, students are usually given a formula sheet with some of the more obvious formulae, though it is a good idea to learn them.
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Area of a Triangle = 1/2 (base x height)
Area of a Circle = pi x r^2
NB: You might be given pi as 22/7 or 3.14; r^2 is radius x radius
Area of Rectangle = length x width
Area of a Square = length x length
These are some areas of different shapes. You MUST identify and insert the given values into the formula to get the correct result.
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Different shapes use different formulas to calculate the area, which means that each geometrical shape has its own formula for determining the area. The formulas for calculating the areas of some of these shapes are explained below:
1) The Area of a Rectangle
The area of a rectangle is calculated by multiplying the length by the width
A = L*W
2) The Area of a Square
Much like a rectangle, the area of a square is calculated by multiplying the length by the width. But because a square has 4 equal sides (meaning that Length = Width), its area is given by:
A = L*L = L^2
3) The Area of a Circle
The area of a circle is calculated as A = pi*r^2, where r is the radius of the circle (the distance from any point on the circumference of the circle to the centre of the circle), and pi is a constant.
4) The Area of a Triangle
The area of a triangle is calculated as A = 0.5*B*H, where B is the base length of the triangle, and H is the vertical height of the triangle (running vertically from the apex to the base of the triangle).
5) The Area of a Trapezoid
The area of a trapezoid is calculated as A = 0.3(A + B)*H, where A & B are the lengths of the two parallel sides, and H is the vertical height between the two parallel sides.
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. Triangle
Formula:
𝐴
=
1
2
×
base
×
height
A=
2
1
×base×height
2. Rectangle
Formula:
𝐴
=
length
×
width
A=length×width
3. Square
Formula:
𝐴
=
side
2
A=side
2
4. Parallelogram
Formula:
𝐴
=
base
×
height
A=base×height
5. Trapezoid (Trapezium)
Formula:
𝐴
=
1
2
×
(
base
1
+
base
2
)
×
height
A=
2
1
×(base
1
+base
2
)×height
6. Circle
Formula:
𝐴
=
𝜋
×
𝑟
2
A=π×r
2
(where
𝑟
r is the radius)
7. Ellipse
Formula:
𝐴
=
𝜋
×
𝑎
×
𝑏
A=π×a×b
(where
𝑎
a and
𝑏
b are the lengths of the semi-major and semi-minor axes)
8. Rhombus
Formula:
𝐴
=
1
2
×
𝑑
1
×
𝑑
2
A=
2
1
×d
1
×d
2
(where
𝑑
1
d
1
and
𝑑
2
d
2
are the lengths of the diagonals)
9. Sector of a Circle
Formula:
𝐴
=
𝜃
360
×
𝜋
𝑟
2
A=
360
θ
×πr
2
(where
𝜃
θ is the angle in degrees)
10. Regular Polygon
Formula:
𝐴
=
1
4
×
𝑛
×
𝑠
2
×
cot
(
𝜋
𝑛
)
A=
4
1
×n×s
2
×cot(
n
π
)
(where
𝑛
n is the number of sides and
𝑠
s is the length of a side)
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1. Square
Formula: Area=a^2, where a is the length of a side.
2. Rectangle
Formula: Area= l × w, where l is the length and w is the width.
3. Triangle
Formula: Area= 1/2 x b x h, where b is the base, and h is the height.
4. Circle
Formula: Area= π x r^2, where r is the radius.
5. Parallelogram
Formula: Area= b × h, where b is the base and h is the height.
6. Trapezoid (Trapezium)
Formula: Area= 1/2 x (a+b) x h, where a and b are the length of the parallel sides, h is the height.
7. Rhombus
Formula: Area= 1/2 x d1 x d2, where d1 and d2 are the lengths of the diagonals.
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area of a triangle- bxh/2
area of circle- pi x r^2
area of square- base x height
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Noofa
Length × breadth
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Rectangular : length ×width
Triangle: ( base×height)÷2
Square: side ×side
Circle: (pi × r^2) ● pi value: 3.14
Parrallelogram: base × height
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Basic Shapes:
Square: Area = side length squared (A = s²)
Rectangle: Area = length × width (A = l × w)
Triangle: Area = (base × height) / 2 (A = (b × h) / 2)
Circle: Area = π × radius squared (A = πr²)
Polygons:
Parallelogram: Area = base × height (A = b × h)
Trapezoid: Area = (sum of bases × height) / 2 (A = ((b1 + b2) × h) / 2)
Regular Polygon: Area = (perimeter × apothem) / 2 (A = (P × a) / 2)
Other Shapes:
Ellipse: Area = π × length × width (A = πlw)
Sector of a Circle: Area = (central angle / 360°) × πr²
Cube: Area = 6 × side length squared (A = 6s²)
Rectangular Prism: Area = 2lw + 2lh + 2wh
Sphere: Area = 4πr²
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Well!
Area of Square is L×L, because it's all sides are equal.
Area of Rectangle is L×W
Area of Parallelogram B×H, here B is breadth and H is the height.
Area of Triangle is 1/2 (b×h) because it's half of the parallelogram.
Area of Circle is πr², where ''r'' is the radius of Circle and π=3.1428.
If you would like to have more information then feel free to ask.
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Noel James
Quadrilateral is length times width
Triangle is bsse times height divided by 2
Circle is pi times the radius squared
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That's interesting question. Instead of mugging up list of formulas for all the things - try catch the logic here.
Area means the spatial space occupied by an object/figure. By what qauntity did the figure spread itself. Like spreading peanut butter on the bread. To spread like this, it has to expand itself in 2 directions. So area would be the product of horizontal and vertical dimensions. In simple words, product of length and breadth.
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Joshua Asare
Okay , so this is how we will begin , there is no single formula for finding area of all shapes. There are a number of shapes which includes square, rectangle, triangle, circle, just to mention a few. And each shape has its formula for finding the area . Example , the area of a square is calculated by multiplying its side by side . The area of a rectangle is also calculated by multiplying its length by its breadth, also the area of a triangle is calculated by multiplying the base by the height and dividing the results by 2. For now these are the basic shapes and their respective formulas.
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area of square: Length * Width
area of Rectangle: Length * Width
area of Triangle: 1/2 * Base * Height
area of Parallelogram: Base * Height
area of Trapezium: 1/2 * (a + b) * Height
area of circle: 3.14 * Radius^2
area of Semi Circle: 1/2 * 3.14 * radius^2
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Shrutika
1. Rectangle: Area = Length × Width
2. Square: Area = Side × Side
3. Triangle: Area = (Base × Height)
4. Circle: Area = π × Radius²
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Start with squares : length times width
but since squares have sides that are all equal then itll be Length times length
so LxL
for rectangles : same thing so LxW
for parallelograms: similar to rectangles with different names : base times height so bxh
where the height should be the vertical height
think of triangles as half of a rectangle
1/2 base times height
here just the names are different
1/2 bxh
circles have a special constant called pi
and they should know the names of parts of a circle ( raduis , diameter etc )
pi r^2
pi is used as either 3.14 or 22/7 or pi on the calculator
if you need further help let me know
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Manahil Ajaz
Square:
Area
=
𝑠
2
Area=s
2
where
𝑠
s is the length of a side.
Rectangle:
Area
=
𝑙
×
𝑤
Area=l×w
where
𝑙
l is the length and
𝑤
w is the width.
Triangle:
Area
=
1
2
×
𝑏
×
ℎ
Area=
2
1
×b×h
where
𝑏
b is the base and
ℎ
h is the height.
Circle:
Area
=
𝜋
𝑟
2
Area=πr
2
where
𝑟
r is the radius.
Parallelogram:
Area
=
𝑏
×
ℎ
Area=b×h
where
𝑏
b is the base and
ℎ
h is the height (perpendicular to the base).
Trapezium (Trapezoid):
Area
=
1
2
×
(
𝑎
+
𝑏
)
×
ℎ
Area=
2
1
×(a+b)×h
where
𝑎
a and
𝑏
b are the lengths of the parallel sides, and
ℎ
h is the height.
Ellipse:
Area
=
𝜋
×
𝑎
×
𝑏
Area=π×a×b
where
𝑎
a and
𝑏
b are the semi-major and semi-minor axes.
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Mahan Singh
Verified Tutor
The area of 2-D shapes is the length multiplied by the width.
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Different Areas:
Square = length x length
Rectangle= length x width
Triangle= 1/2 base x height
Circle= πr^2
Trapezium= 1/2(a + b)h
Parallelogram= base x height
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Marijana
Area circles=r2pi.pi=3,14
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Hi,
So there isn't a one size fits all formula here. But then you can always assume the 2D shapes to be a combination of various different shapes whose formulas are a known quantity for us.
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Mandy Dawson-Barnes
Hi it doess really depend on the shape but for rectangles and squares its base x height.
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Kaitlyn
Square : length squared
Circle : pi x r squared
Triangle : 1/2 x base x height
Rectangle : base x height
Trapezoid : top measurement + base measurement divided by 2 and x H
There are many out there
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Richmond Asante Boateng
Square=s^2
Rectangle= L* w
Triangle=1/2*b*h
Circle=pi*r^2
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Square:
Area=side*side
Rectangle:
Area=length×width
Triangle:Area=1/2×base×height
Circle:Area=𝜋×radius*radius
Parallelogram:Area=base×height
Trapezoid (Trapezium):Area=1/2×(base1+base2)×height
Rhombus:Area=1/2×diagonal1×diagonal2
Ellipse:Area=𝜋×semi-major axis×semi-minor axis
Sector of a Circle:Area=𝜃360×𝜋×radius2
θ is the central angle in degrees.
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The formula for the area of a shape depends on the shape of the figure:
Triangle: Area = ½ (base × height)
Rectangle: Area = length × width
Parallelogram: Area = base × height
Trapezoid: Area = ½ (base1 + base2) × height
Circle: Area = π × r2, where 'r' is the radius of the circle and 'π' is a constant whose value is taken as 22/7 or 3.14
Ellipse: Area = πab, where a = ½ minor axis and b = ½ major axis
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Ben
Area of a triangle
1/2 * base * height
Area of a circle
Pie R square
Area of rectangle
Length * breadth
Area of trapezium
1/2 * (a+b) * h
Area of a parallegram
Base × Height
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Hi, you can actually google it (but for each 2D shape) and you will be able get the formula for each one. Note, these formulas are not given in a formula sheet in an exam and they must be memorised. Good luck!
Soe
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The area of a shape is the amount of space inside the shape, measured in square units.
for example, if you put a picture on the wall , then how much space of the wall is the picture covering , that the area, now for the pic, you only have Length and width available , thus the product is the area
Square/Rectangle
A = l x w
Circle
A = πr^2
Triangle
A = ½ (b x h)
Parallelogram A = b x h
Trapezium
A = ½ (a + b)h
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Formula for area of all shapes is not fixed . For squares and rectangles it is A = b*h , for triangles it is 1/2 base * height , for trapezium =1/2 ( sum of parallel sides)* distance between the parallel sides . and so on ...
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Yes,
The formula for the area of a triangle
Area = 1/2 × base X height
Where:
• Base is the length of one side of the triangle.
• Height is the perpendicular distance from the base to the opposite vertex.
The formula for area of circle is
Area= πr2 (r square)
• the value of π is 3.14
The area of what other shapes u need
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1. Triangle
A=1/2×b×h ((b = base and h =height))
2. Rectangle
A=l×w (l=length, w=width)
3. Circle
A=πr^2 (r is the radius)
4. Parallelogram
A=b×h (b = base and h =height)
5. Square
A=s^2 (s is the length of a side)
6. Trapezium
A=1/2×(a+b)×h (a and b are the lengths of the parallel sides and h is the height)
7. Ellipse
A=πa×b (a and bb are the lengths of the semi-major and semi-minor axes)
8. Rhombus
A=1/2×d1×d2 (d1 and d2 are the lengths of the diagonals)
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For regular shapes (shapes whose sides and angles are all the same, it is (4ns^2)cot(pi/n), where n is the number of sides and s is the length of a side.
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All area units are given in cm^2
Square: Area = length x width
Circle: Area = pi x r^2, where r = radius
Triangle: Area = 1/2 x width x height
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Sooraj
Area of triangle is 1/2*base *height
Area of circle 3.14*radius*radius
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The following are the formulae of the Area of all Shapes
1. Tariangle. Area = ½ × b × h. b = base. h = vertical height.
2. Square. Area = a2 a = length of side.
3. Rectangle. Area = w × h. w = width. ...
4. Parallelogram. Area = b × h. b = base. ...
5. Trapezoid (US) Trapezium (UK) Area = ½(a+b) × h. ...
6. Circle. Area = π × r2 r = radius.
7. Ellipse. Area = πab.
8. Sector. Area = ½ × r2 × θ r = radius.
Hope this helps
Thank you
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Hello, i hope you fine .Every geometric shape has its own area law. For example, the area of a square can be calculated if the length of its side is known so that the area is equal to the square of this side. There is also a triangle, where there is a general law that states that the area of a triangle is equal to the product of the base multiplied by the height divided by two. If the triangle is right-angled, you can use the right-angled triangle rule, which states that the area of a right triangle is equal to the product of the lengths of the two right sides divided by two.
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Area of a triangle = h x b / 2 or (height x base) divide 2
Area of a Circle = π r² or (3.14 x radius squared)
Area of Rectangle = lw or (lenght x width)
Area of square = s² or (side squared)
Area of trapezoid = ½ (a + b) h or (length + base) x height divide 2 times
Area od rhombus = b x h or (base x height)
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Joseph
1.Area of a Triangle = ½ x Base Area x Height.
2.Area of a Circle = π x (radius x radius) or π x diameter
3.Area of a Square = Length x Length
4.Area of a Trapezium = ½ x (Top Length + Bottom Length) x Height
This is how you write them in Mathematical terms;
1.A=½bh
2.A=πr^2 or A=πd
3.A=L^2
4.A=½(a + b)h
Note: This symbol (^) means to the power of. i.e. 2^2=4.
If there's any other shape you need help with or a more detailed explanation, please reply.
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Square & rectangle: base x height
Triangle:(base x height)/2
Trapezium: (a+b)/2 x height
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Hi Shahab,
Here are the formulas:
Area of a square and rectangle: Base x height
Area of a triangle: (base x perpendicular height)/2
Area of a circle: pi x r squared
Area of a trapezium: (a + b) x height /2
Hope that’s helps. If you need anything else or any help, don’t hesitate to ask
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Dear Shahab,
Hope you are doing well. Please see below:
Rectangle: base x height
Triangle: 0.5 x base x height
Circle: π x (radius x radius)
Any other shape would be a combination of the formulas above.
Best Wishes
Shafq
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Triangles: 1/2 base x height
Circles: πr^2 (pi x radius squared)
Square, rectangle: length x width
For trapezium, I was taught this small song in year 7:
Half the sum the parallel sides
Then times the distance between them
That is how you find out
The area of a Trapezium
- For irregular shapes, you'll want to split it up into smaller shapes and solve their areas, before adding them all up.
Hope this helped :)
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Area of plane shapes all follow the principle of length x breadth when the shapes have 2 sets of perpendicular/parallel sides as in squares, rectangle, rhombus and parallelogram.
The height in the parallelogram/rhombus is the perpendicular distance between the side taken as the base and the parallel side opposite it
For a triangle, following the similar principle for the parallelogram, it is a half of base x perpendicular height from base to the vertex (that's like half the area of a parallelogram with the triangle dimensions)
Circle is simply pi (22/7) x square of radius
In summary, AREA OF
Square/rectangle = length x breadth
Rhombus/parallelogram = base x perpendicular height
Trapezium = 1/2 x (a + b) x height {a & b are lengths of parallel sides}
Triangle = 1/2 x base x perpendicular height
Circle = (22/7) x radius ^2
All other complex shapes could be reduced to any of these shapes and the areas calculated from the sum of all the areas of the parts making the shape
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aera of triangle:- 1/2 b*h
b= base
h=height
aera of circle= pi r^2
r=radius
rectangle=2*l*B
l=length
b=bredth
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Yan
Square/Rectangle: A = l x w
Circle: A = πr^2
Triangle: A = ½ (b x h)
Parallelogram: A = b x h
Trapezium: A = ½ (a + b)h
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Area:
Triangle = 1/2 x base x height
Circles = [pie mathematic symbol] x radius to the power of 2
Square= length x width
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Hi Shahab,
Here are the areas for most 2D shapes you will work with:
Triangle. Area = ½ × b × h.
b = base h = vertical height
Square. Area = a^2 a = length of side.
Rectangle. Area = w × h. w = width h = height
Parallelogram. Area = b × h. b = base h = height
Trapezium Area = ½(a+b) × h , h = vertical height
Circle. Area = π × r^2, r = radius.
Ellipse. Area = πab. a = height from top to centre, b = length from side to middle
Sector. Area = ½ × r2 × θ , r = radius, θ = angle in radians.
Hope this helps
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Antony Kuncheria
Triangle Area = 1/2xbh
Circle = pi r2
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John Ebishue
Square/Rectangle A = l x w
Circle A = πr^2
Triangle A = ½ (b x h)
Parallelogram A = b x h
Trapezium (A = ½ (a + b)h))
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1. Triangle: A = (1/2) × base × height
2. Circle: A = π × r² (where r is the radius)
3. Rectangle: A = length × width
4. Square: A = s² (where s is the length of a side)
5. Parallelogram: A = base × height
6. Trapezoid: A = (1/2) × (b₁ + b₂) × h (where b₁ and b₂ are the bases and h is the height)
7. Ellipse: A = π × a × b (where a and b are the semi-major and semi-minor axes)
8. Rhombus: A = (1/2) × d₁ × d₂ (where d₁ and d₂ are the lengths of the diagonals)
9. Sector of a Circle: A = (θ/360) × π × r² (where θ is the angle in degrees and r is the radius)
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Poorvi
1. Square
Area=side^2
2. Rectangle
Area=length×width
3. Triangle
Area = 1/2 ×base×height
4. Parallelogram
Area=base×height
5. Trapezium (Trapezoid)
Area = 1/2 ×(base 1+base 2 )×height
6. Circle
Area=π×radius ^2
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The area of a shape represents the amount of space it covers, and each shape has its own specific formula for calculating this. For basic shapes like squares, rectangles, and triangles, we use simple formulas based on their dimensions, such as length, width, and height. For circles, the formula involves the radius and a constant called pi. Irregular shapes can often be broken down into these simpler shapes, allowing us to calculate the area of each part and then add them together for the total area.
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Volume of a sphere, the formula is: the formula is four-thirds times pi times the cube of the radius.
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Here is a list of the most asked for shapes and the formula of its area:
Rectangle: Area: A = l × w, Perimeter: P = 2(l + w) (l = length, w = width)
Square: Area: A = s², Perimeter: P = 4s (s = side length)
Triangle: Area: A = ½ b × h, Perimeter: P = a + b + c (b = base, h = height, a, b, c = sides)
Circle: Area: A = πr², Circumference: C = 2πr (r = radius)
Parallelogram: Area: A = b × h, Perimeter: P = 2(a + b) (b = base, h = height, a, b = sides)
Trapezoid: Area: A = ½ (b₁ + b₂) × h, Perimeter: P = a + b₁ + b₂ + c (b₁, b₂ = parallel sides, h = height, a, c = non-parallel sides)
Rhombus: Area: A = ½ (d₁ × d₂), Perimeter: P = 4s (d₁, d₂ = diagonals, s = side length)
Ellipse: Area: A = πab, Perimeter (approx): P ≈ π[3(a + b) - √((3a + b)(a + 3b))] (a = semi-major axis, b = semi-minor axis)
Hope this helps you.
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Larry A. Mulig
Of course! Here’s a quick list of area formulas for some common shapes:
Triangle: Area = 1/2 × base × height
Rectangle: Area = lengt × width
Circle: Area = 𝜋×radius raised to 2
If you need more help or examples, feel free to ask! I’d be happy to explain it further—you’ve got this, and I’m here to make math easier for you!
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Folakemi Ayodele Fanoiki
For rectangle it is length x breadth
For parallelogram base x height
Fir Trapezium 1-2 (bade +height)×h
Fir ellipse pia×b where pi is 22-3
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This is a central concept in geometry. The simplest shape is the unit square, which has an area of 1. When the length includes a unit (e.g., centimeters), the area is expressed in the square of that unit (e.g., square centimeters). All formulas for calculating the area of a shape are fundamentally based on counting how many unit squares can fit within the shape. In some cases these unit squares must be cut in pieces.
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Charis
Triangle
Area=Base ×height/2
Area=1/2×a×b×sin(c)
Circle
Area= pi*r²
Rectangle
Area=length×height
Trapezium
Area=(upper length+ lower length)×height /2
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For 2D shapes known as plane shapes, you could be asked to either calculate the area(the space it occupies on a plane surface) or its perimeter( the length of the line around the shape).
For triangles= Area= 1/2×Base×Height
Rectangle; Area=Length×Width; Length = the longer side,Width = the shorter side
Square; Area=Side^2; Side = length of one side of the square
Parallelogram; Area=Base×Height; Base = length of the base, Height = perpendicular height from the base to the opposite side
Trapezium; Area= 1/2 × (sum of the two long parallel sides)×height
Circle; Area=π×Radius^2; radius = distance from the center of the circle to any point on its circumference, 𝜋≈3.1416
Rhombus; Area= 1/2 × diagonal1 × diagonal2; Diagonal1 and Diagonal2 are the lengths of the diagonals.
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Multiply the base by the height for squares and rectangles. If its a triangle it's base times height and half that.
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Rectangle = Length X width
Square = Side X Side
Triangle Half Base X height
Circle= Pi Radius Squared
Parallelogram = Base X height
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Triangle. A=1/2(bxh)
Circle. A=¥r^2
Square/Rectangle. A=LxW
Trapezium. A=1/2(a+b)h
Parallelogram. A=bxh
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Yuval
Hey there!
1. Area of a Square = Length × Width ( L × W)
2. Area of rectangle = Length × Width (L × W)
3. Area of a Triangle = 1/2 × base × height (1/2× b × h)
4. Area of a Circle = π × radius × radius
5. Area of Parallelogram = base × height (b × h)
6. Area of Trapezium = 1/2(a + b)h
Hope that answers your question! Don’t hesitate to reach out
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Mahi Priya
Area of rectangle= length* breath/width
Area of Square= (side)^2
Area of triangle= 1/2*base*height
Area of Circle = πr^2 , where r = radius of the circle.
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The formula for the area of a shape depends on the specific shape. We don't generally have a formula for all shapes.
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