Question

(a)

The measure of the minor arc in the circle shown below is
degrees.
210°
Part B
If the radius of the circle is 12 inches, the area of the sector contained by the minor arc and two radii is:
(b)
357 in.
B 557 in.
2
607 in.2
D757 in.

Answer 1

`A=60\pi\ in^2`

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=(\theta)/(360)* \pi r^2\\\\=(150)/(360)* \pi (12)^2\\\\=60\pi\ in^2`

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