An arc of a circle of radius 14cm subtends angle 300o at the center. Find the perimeter of the sector formed by the arc
A
14.67cm
B
42.67cm
C
101.33cm
D
543.33cm
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
The perimeter of the sector \(=2r+\frac{\theta}{360}\times 2\pi r \\
\Rightarrow 28 + \frac{300}{360} \times \frac{2}{1} \times \frac{22}{7}\times \frac{14}{1} = \frac{220}{3}+28\\
73.133+28=101.33cm\)
Source: Myschool Past Questions Archive (Record #26697)