# Find the area of a sector with an arc length of 60 in. and a radius of 15 in?

**Solution:**

Area of a sector = a/360 πr^{2}

Where a is the arc length and r is the radius

It is given that

a = 60 in

r = 15 in

Substituting the values

Area of a sector = 60/360 × π × (15)^{2}

By further calculation

= 1/6 × π × (15)2

= 1/6 × π × 225

= π × 75/2

= 75π/2

**Therefore, the area of a sector is 75π/2.**

## Find the area of a sector with an arc length of 60 in. and a radius of 15 in?

**Summary:**

The area of a sector with an arc length of 60 in. and a radius of 15 in is 75π/2.