Q. 3

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

Answer :


Circumference of outer circle = 525m

Let radius of outer circle = R2m

Let radius of inner circle = R1m


R2-R1 = 14 (equation 1)

= 2πR2 = 525

Put value of R1 in equation first

= 83.52 – R1 = 14

= - R1 = 14 – 83.52

= R1 = 69.52m

Area of path =

Cost of leveling the path = 6733.76×.50 = Rs 3388

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