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The perimeter of a sector of a circle of radius 21cm is 64cm...

The perimeter of a sector of a circle of radius 21cm is 64cm. Find the angle of the sector [Take π=227]

A.

70o

B.

60o

C.

55o

D.

42o

Correct answer is B

Perimeter of a sector

= 2r + θ360o x 2 x 227 x 21

64 = 2 x 21 + θ360o x 2 x 227 x 21

64 = 42 + θ360o x 44 x 3

64 - 42 = θ360o x 11 x 3

22 = 33θ90

θ=22×3011

= 60o