Question

(a)

Answer 1

Answer:

$A=60\pi\ in^2$

Step-by-step explanation:

The angle made by the major arc = 210°

The sum of the measure of major arc and the minor arc is equal to 360°.

Minor arc = 360° - 210° = 150°

The radius of the circle, r = 12 inches

The area of the sector is given by :

$A=\dfrac{\theta}{360}\times \pi r^2\\\\=\dfrac{150}{360}\times \pi (12)^2\\\\=60\pi\ in^2$

So, the correct option is (c) i.e. $60\pi\ in^2$.