# 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 circular sector*π* = 3.141592...*r*: Radius of a circular sector*θ*: Measure of a sector's central angle*πr*^{2} is the area of the whole circle.

θ/360 is the ratio of

(Sector's central angle, θ)/(Circle's central angle, 360).

## Example

*r* = 6*θ* = 120

So *A* = *π*⋅6^{2}⋅(120/360).

*π*⋅6^{2} = 36*π*

120/360 = 1/3

So *A* = 36*π*⋅(1/3).

36⋅(1/3) = 12

So *A* = 12*π*.