Question

The outermost circumference of a circular track is 194.68 m and the track is everywhere 6m wide.Find the cost of levelling the track at the rate of 25 paisa per m.

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Answer 1

Answer:

Let the radius of outer circle be R

Given: Circumference of outer circle = 194.68 m

⇒ 2πR = 194.68 m

⇒ 2 × 3.14 R = 194.68 m



 

⇒ Radius of inner circle (r) = Radius of outer circle – width

 = 31 m – 6 m = 25 m

 

Thus area of track = area of outer circle – Area of inner circle

= πR2 – πr2 = π (R2 – r2)



 

Now cost of leveling 1 m2 = 25 paise = Rs 0.25

 

Hence cost of leveling track = Rs 0.25 × 1056 = Rs 264

Explanation:

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