The angle of a sector of a circle radius 10.5cm is 120^\circ. Find the perimeter of the sector [Take \pi = 22/7]
A
22cm
B
33.5cm
C
43cm
D
66cm
E
115.5cm
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
Perimeter of a sector = \(2r + \frac{\theta}{360} \times 2\pi r\)
= \(2(10.5) + \frac{120}{360} \times 2 \times \frac{22}{7} \times 10.5\)
= \(21 + 22\)
= 43 cm
Source: Myschool Past Questions Archive (Record #23204)