The outer circumference of a circular race-track is 525m. The track is everywhere 14m wide. Calculate the cost of leveling the track at the rate of 50paise per square meter(Use π=22/7)
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Answer: 3293.2
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Cost of levelling the track = Rs. 3366.88
Step-by-step explanation:
The outer circumference of a circular race-track is 525m. The track is everywhere 14m wide.
Circumference of outer circle = 525m = 2πR
Radius = 525/2π = 83.52 m
Area of outer circle = πR² = 22/7 * 83.52 * 83.52
= 21923.28 m²
Radius of the inner circle = 83.52 - 14 = 69.52
Area of inner circle = 22/7 *69.52 * 69.52 = 15189.52 m²
Area of the track = 21923.28 - 15189.52 = 6733.76 m²
Cost of levelling the track = 6733.76 * 0.50 = Rs. 3366.88
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