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
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(r21−r22)
=π(r1+r2)(r1−r2) [Since, a2−b2=(a−b)(a+b)]