XY is a chord of circle centre O and radius 7cm. The chord XY which...

WAEC 2008

XY is a chord of circle centre O and radius 7cm. The chord XY which is 8cm long subtends an angle of 120^o 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

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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

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