Question
A circular playground has an inner radius of 14 metres.
A track of width 14 metres surrounds the playground. Find the cost of colouring the track at the rate of Rs. 2 per square metre.Solution
Outer radius = 14 + 14 = 28 metres Area of outer circle = π × 28²
= (22/7) × 784
= 2464 m² Area of inner circle = π × 14²
= (22/7) × 196
= 616 m² Area of the track = 2464 − 616
= 1848 m² Therefore, cost of colouring the track = 1848 × 2
= Rs. 3696
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