A sector of a circle radius 14 cm subtends an angle 135° 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
Correct Answer: Option B
Explanation
Perimeter of the sector = (2r + frac{theta}{360} times 2pi r)
= (2(14) + frac{135}{360} times 2 times frac{22}{7} times 14)
= (28 + 33)
= 61 cm