A sector of a circle radius 14 cm subtends an angle 135^\circ at the center of the circle. What is the perimeter of the sector? Take \(\pi = \frac{22}{7}\)
A
47cm
B
61cm
C
88cm
D
231cm
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
Perimeter of the sector = \(2r + \frac{\theta}{360} \times 2\pi r\)
= \(2(14) + \frac{135}{360} \times 2 \times \frac{22}{7} \times 14\)
= \(28 + 33\)
= 61 cm
Source: Myschool Past Questions Archive (Record #26515)