Question

What is the approximate area of the shaded sector in the circle shown below?

14 in
C
30⁰
OA. 205 in²
O B. 51 in2
OC. 3.67 in²
OD. 7.33 in2
SUBMIT

Answer 1

B. 51 in²

Explanation:

The area of a sector which has a central angle of θ degrees is given by
Area of circle x θ/360

where
area of circle = πr² with r being the radius

So area of sector = πr² x θ/360

here r = 14 in and θ=30°

Area of sector
= π x 14² x 30/360

= 51.31268 in²

≈ 51 in²

Option B