Calculate Area

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Calculate the area of a shape

Calculate the area of various geometric shapes

Triangle

The area of a triangle is calculated by multiplying the base of the triangle by its height and then dividing by two. This formula is expressed as:

Area = 0.5 * base * height

Rectangle

The area of a rectangle is calculated by multiplying its length by its width. Here's the formula:

Area = length * width

Square

A square is a special type of rectangle where the length and width are the same. The area is calculated by squaring the side length. Here's the formula:

Area = side length²

Trapezium

A trapezium has two parallel sides known as the bases. The area is calculated by multiplying the average of these two bases by the height. The formula is expressed as:

Area = 0.5 * (base1 + base2) * height

Pentagon

For a regular pentagon (where all sides and angles are equal), the area is calculated using the side length (a):

Area = 0.25 * √(5*(5+2*√(5))) * side length²

Hexagon

For a regular hexagon (where all sides and angles are equal), the area is calculated using the side length (a):

Area = (3 * √(3) / 2) * side length²

Circle

The area of a circle is calculated by squaring the radius and multiplying by pi (approximately 3.14159). Here's the formula:

Area = pi * radius²