Question

What is the approximate area of the shaded sector in the circle shown below? A. 150.8 cm2
B. 6.28 cm2
C. 37.7 cm2
D. 3.14 cm2

Answer 1

Answer:

C

Step-by-step explanation:

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

(central angle is equal to the measure of the arc, that is 30° )

A = πr² × $\frac{30}{360}$

   = π × 12² × $\frac{1}{12}$

   = 144π ÷ 12

   = 12π

    ≈ 37.7 cm² ( to the nearest tenth )