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Circumference of a circle is 132 cm. What is the perimeter of its sector whose central angle is 135°?
Question

Circumference of a circle is 132 cm. What is the perimeter of its sector whose central angle is 135°?

A.

93.5 cm

B.

92.5 cm

C.

101.5 cm

D.

91.5 cm

Correct option is D

Given:

Circumference of a circle is 132 cm.

central angle is 135°

Formula Used:

Circumference of the circle = 2πr

Perimeter of sector = 2πr × [θ/360] + 2r

Solution:

=> 2 π r = 132
=> 2 × 22/7 × r = 132
=> r = 132 × 7/22 × 1/2
=> r = 21
Perimeter of sector =  2 × 22/7 × 21 × 135360\frac{135}{360}​+ 2 × 21 =  49.5 + 42 = 91.5 cm

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