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
Given,
Circumference of outer circle = 525m
Let radius of outer circle = R2m
Let radius of inner circle = R1m
So,
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