XY is a chord of circle centre O and radius 7cm. The chord XY which...
MATHEMATICS
WAEC 2008
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: B. 22.67cm
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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