Question

Find the area of the shaded sector of the circle. Leave in terms of pi.

Answer 1

`a=10.88\pi`

Explanation:

using the formula below, the central angle is 20° (bc 360-180-160=20)

radius is 14 (28/2=14)

`(20)/(360) =(a)/(\pi r^2) \\ (1)/(18) =(a)/(\pi 14^2)`

`(1)/(18) =(a)/(196\pi)`

`a=(1*196\pi)/(18) \\a=1*10.88\pi\\a=10.88\pi`