Area is the amount of space inside the boundary of a two-dimensional shape. It measures the size of a surface and is expressed in square units such as square meters (mΒ²), square feet (ftΒ²), or square centimeters (cmΒ²).
Different shapes have different formulas for calculating area. The most common shapes include rectangles, circles, and triangles, each with their own specific calculation method.
The method for calculating area depends on the shape:
Simply select your shape above, enter the required dimensions, and our calculator will do the rest.
Rectangle Area: A = length Γ width
Circle Area: A = Ο Γ rΒ² (where r is the radius)
Triangle Area: A = (base Γ height) / 2
Problem: Calculate the area of a rectangle with length 10 meters and width 5 meters.
Solution: A = 10 Γ 5 = 50 mΒ²
Problem: Calculate the area of a circle with radius 7 cm.
Solution: A = Ο Γ 7Β² = Ο Γ 49 β 153.94 cmΒ²
Problem: Calculate the area of a triangle with base 12 inches and height 8 inches.
Solution: A = (12 Γ 8) / 2 = 96 / 2 = 48 inΒ²
Area measures the space inside a shape (in square units), while perimeter measures the distance around the outside of a shape (in linear units).
A triangle is essentially half of a rectangle or parallelogram with the same base and height. Dividing by 2 gives you exactly half that area.
For most practical calculations, use Ο β 3.14159. Our calculator uses a more precise value for accurate results.