Area and Perimeter Formulas
The table below provides a list of formulae to find values of area and perimeter of various 2D shapes.
Area and Perimeter Formulas for all Shapes |
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Shape |
Area |
Perimeter |
Variables description |
Triangle |
A = 1/2(b × h) |
P = a + b + c |
b = base, h = height |
Rectangle |
A = l × b |
P = 2(l+b) |
l = length, |
Square |
A = s × s |
P = 4 × s |
s = side |
Circle |
A = πr2 |
P = 2πr |
r = radius, |
Ellipse |
A = π×b |
P = π(a+b) |
a = semi major axis |
Parellelogram |
A = b × h |
P = 2(a+b) |
b = base, h = height |
Rhombus |
A = 1/2 (d1 × d2) |
P = 4 × a |
d1, d2 = diagonals |
Trapezium |
A = 1/2 × (a+b) × h |
P = Sum of all Sides |
a,b = length of parallel sides, |
For polygons, perimeter can be calculated as sum of lengths of its sides. And, for a regular polygon, i.e a polygon having equal sides, perimeter is calculated as n × a, where n is number of sides or edges of the polygon and a is the measure of its one side.
Area and Perimeter of Shapes | Formula and Examples
Area and Perimeter mostly relate to 2-dimensional shapes. By learning about the areas of 2D shapes, we can easily determine the surface areas of 3D bodies and perimeter helps us to know the length required to cover the boundary of any 2D closed shape.
In this article, we are going to learn how to find the Area and Perimeter of different shapes, with the help of solved examples.
Table of Content
- Area Meaning
- Perimeter Meaning
- Area and Perimeter for All Shapes
- Area and Perimeter Formulas
- Area vs Perimeter