Question

The radius of a circle measures 5 inches A central angle of the circle measuring 12 radians cuts off a sector

What is the area of the sector?
Enter your answer as a simplified fraction in the box
area =
inches squared

Answer 1

25/4 square inches

Explanation:

The area of a sector of a circle is given by the formula ...

A = (1/2)r²θ

where r is the radius and θ is the central angle in radians.

For your sector, the area is ...

A = (1/2)(5 in)²(1/2) = 25/4 in²