If the angle of a sector of a circle with radius 10.5 cm is 120°, find the perimeter of the sector. [Take (pi = frac{22}{7})]
-
A.
48 cm -
B.
40 cm -
C.
43 cm -
D.
45 cm
Correct Answer: Option C
Explanation
Perimeter of the sector = (2r + frac{theta}{360°} times 2pi r)
= (2(10.5) + frac{120}{360} times 2 times frac{22}{7} times 10.5)
= (21 + 22)
= 43 cm
There is an explanation video available below.