Question

A circle has a radius of 4 ft.

What is the area of the sector formed by a central angle measuring 3π2 radians?

Use 3.14 for pi.

Enter your answer as a decimal in the box.

Answer 1

37.68 ft²

Explanation:

radius = 4 feet

Sector angle = 3 ft/2

convert to degree = 3 pi/2 × 180/ pi = 270°

(pi = 3.14)

Area of sector = Angle of sector/Angle of circle × pi × r²

= 270/360 × 3.14 × 4²

= 0.75 × 3.14 × 16

= 37.68 ft²