---
title: Area of a Sector
---

## Area of a Sector
A sector is the portion of a circle enclosed by two radii and one arc, where the smaller area is known as the Minor and the larger area is known as the Major sector. 

![Circle Sector](https://upload.wikimedia.org/wikipedia/commons/d/da/Circle_arc.svg "A circle showing Minor and Major sector")

Minor sector shaded in green. 
*L* is the arc length.
*θ* is the angle in radians.
*r* is the radius.

**The Area of a sector can be obtained by multiplying the circle's area by the ratio of the angle *(θ°)* and *2π (360°)* as follows**:

A = *πr<sup>2</sup> * (θ°/360)*

### Example:

A circle has a radius of 5 cm. Calculate the area of a sector when the angle made by the radii is 60°. As an approximation for pi, we will use 22/7.

A = *(22/7) * 5<sup>2</sup> * (60°/360°)*

A = **13.095 cm<sup>2</sup>**

#### More Information:

- [Circular Sector](https://en.wikipedia.org/wiki/Circular_sector)