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Question

The perimeter of a sector of circle with radius 5.7 m is 27.2 m. The length of the arc of sector (in m) is _______.


A

13.4

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B

14.1

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C

16.9

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D

15.8

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Solution

The correct option is D

15.8


Perimeter of sector = 2r + Length of the arc of sector

From the given data,

Length of arc of sector = 27.2 - 2 × 5.7

Length of arc of sector = 27.2 - 11.4 = 15.8 m.


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