Question

Find the area of a sector of a circle whose radius is 7 cm and whose central angle is 45

degrees. Use pi = 3.14.

Answer 1

The area of a sector of a circle = 19.2325

Explanation:

Explanation:-

Given θ be the measure of angle and radius of circle

The area of a sector of a circle (see diagram)

`A = (theta)/(360) \pi r^(2)`

Given the radius of circle 'r' = 7cm and given angle θ = 45°

The area of a sector of a circle

`A = (45)/(360) \pi( 7)^(2)`

Use pi =3.14

`A = (45X 3.14( 7)^(2))/(360)`

A = 19.2325

Final answer:-

The area of a sector of a circle = 19.2325