# Area of a Circular Sector

How to find the area of a circular sector: formula, example, and its solution.

## Formula

*A* = *πr*^{2}⋅(θ/360)*A*: area of a sector*π*: 3.141592...*r*: radius of the arc*θ*: measure of the arc's central angle

(= measure of the arc)*πr*^{2}: area of the circle

θ/360: ratio of (sector)/(circle)

This formula is quite similar to the length of an arc formula.

## Example

*r* = 6, *θ* = 120*A* = *π*⋅6^{2}⋅(120/360)