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Question

In a race, three people started from A, B and C respectively and stopped at the endpoint. Find out the radius of track B, given that the radius of track A is 14m and distance between B and the end point is 22 m (as given in the figure).


A

15 m

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B

17.5 m

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C

16 m

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D

16.5 m

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Solution

The correct option is B

17.5 m


The circumference of track A = 2 × (22/7) × 14 = 88 m
The circumference of track B = circumference of track A + 22 m = 110 m
Let the radius of track B be r. So circumference of track B = 2πr
2πr = 110
2 × (22/7) × r = 110

r = 17.5 m


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