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The perimeter of a sector of a circle of radius 4cm is (\(\p...

The perimeter of a sector of a circle of radius 4cm is (π+8)cm. Calculate the anle of the sector

A.

45o

B.

60o

C.

75o

D.

90o

Correct answer is A

Perimeter of sector = 2r + θ360o×2πr

π+8=2×4+θ3360o×2π×4

π+8+θ360o×8π

P + 8 - 8 = θπ456o

π=θπ45o

θπ=45o