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

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 π=227]

A.

14.67cm

B.

22.67cm

C.

29.33cm

D.

37.33cm

Correct answer is B

perimeter of minor segment = Length of arc xy + chord xy

where lxy = 120360×2x×227×7

= 14.67cm

perimeter of minor segment = 14.67 + 8 = 22.67cm