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Question

A race track is in the form of a ring whose inner and outer circumference are 437 m and 503 m respectively. The area of the track is

A
66 sq.m
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B
4935 sq.m
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C
9870 sq.m
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D
None of these
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Solution

The correct option is C (4935 sq.m)


Let r1 and r2 be the radius of outer and inner circles then their corresponding circumference are 2πr1=503 and 2πr2=437

r1=5032π and r2=4372π

Area of ring =π(r21r22)
=π(r1+r2)(r1r2) [Since, a2b2=(ab)(a+b)]

=π(503+4372π)(5034372π)
=9402(662π)
=235×6622×7
=235×21
=4935 sq.m.

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