Sector: Area

How to find the area of a sector: formula, 1 example, and its solution.

Formula

Formula

A = πr2⋅[θ/360]

A: Area of a sector
r: Radius
θ: Central angle (in degrees)

πr2 is the area of the whole circle.
θ/360 is the ratio of sector/circle.

Example

Example

Solution

r = 6
θ = 120º

A = π⋅62⋅[120/360]

π⋅62 = 36π
120/360 = 1/3

36⋅[1/3] = 12

So 12π is the answer.