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Question

If skating track of length 55 m, as shown in figure, subtends 150o angle at center of circle, find radius of circle.

A
11 m
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B
14 m
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C
21 m
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D
42 m
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Solution

The correct option is C 21 m
Given length of the arc = 55 m , angle subtended = 150°
Length of arc = Angle360o×2πr
Length of track = 150o360o×2×227×r
55 = 512×2×227×r
55×12×75×2×22 = r

r = 21 m
Radius of circle whose track is part is 21 m.

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