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 \(\pi = \frac{22}{7}\)]

14.67cm

22.67cm

29.33cm

37.33cm

Correct answer is B

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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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 \(\pi = \frac{22}{7}\)]

Aptitude Tests

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 \(\pi = \frac{22}{7}\)]