The outer circumference of a circular track is 220 m The track is 14 m wide everywhere Calculate the...........

Quantitative Aptitude ( CCS) Mensuration 2D

The outer circumference of a circular track is 220 m. The track is 14 m wide everywhere. Calculate the cost of levelling the track at the rate of 50 paisa/square meter ?

Rs965

Rs1100

Rs890

Rs1232

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Explanation:

Let outer radius = R
Inner radius = r = R – 14
2 * 22/7 *r = 220
R = 220/(2*22) * 7 = 35m
r = 35 – 14 = 21 m.
Area of track = 22/7 (R²– r²)
= 22/7{35² –21²} = 2464 m²
Cost of levelling the track = 2464×0.50 = Rs. 1232.