Area

Area is the physical amount of two dimensional space that a shape takes up. Area is measured in square units. Visually, we can represent area as a two dimensional grid where 1 unit squared is equal to the area of a square with width 1 and height 1.

A grid demonstrating area.

Formulas

Area of Circle Formula

The area of a circle is given by π (pi) times the radius of the circle squared.

Area of Circle Formula
Area of Rectangle Formula

The Area of a rectangle is given by its width multiplied by its height.

Area of Rectangle Formula
Area of Triangle Formula

The area of a triangle is given by one half multiplied by its width and height.

Area of Triangle Formula
Area of Parallelogram Formula

The area of any parallelogram is equal to the base multiplied by the height.

Area of Parallelogram Formula
Area of Trapezoid Formula

The area of a trapezoid is given by its height multiplied by the sum of its top length and bottom length divided by two.

Area of Trapezoid Formula
Area Between Two Vectors Formula

The area between two vectors is given by the magnitude of their cross product.

Area Between Two Vectors Formula