Question 68

The inner and outer radius of a circular track are 23 m and 29 m respectively. The cost of leveling the track at ₹ 7/m$$^{2}$$ is :

Solution

Radius of outer circle = 29 m

Radius of inner circle = 23 m

Area of the circle = $$\pi r^2$$

Area of the track = area of the outer circle - area of the inner circle

= $$\pi (29)^2 - \pi (23)^2$$ = $$\pi((29)^2 - (23)^2)$$

= $$\pi(841 - 529) = \frac{22}{7} \times 312 = 980.57 m^2$$

Cost = 7/m$$^{2}$$

Total cost of leveling track = $$980.57 \times 7$$ = Rs. 6864

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