XY is a chord of circle centre O and radius 7cm. The chord XY which is 8cm long subtends an angle of 120o at the centre of the circle. Calculate the perimeter of the minor segment. [Take (pi = frac{22}{7})]
-
A.
14.67cm -
B.
22.67cm -
C.
29.33cm -
D.
37.33cm
Correct Answer: Option B
Explanation
perimeter of minor segment = Length of arc xy + chord xy
where lxy = (frac{120}{360} times 2x times frac{22}{7} times 7)
= 14.67cm
perimeter of minor segment = 14.67 + 8 = 22.67cm