Question 8

The area of a circular playground is 22176 $$cm^{2}$$. What is the cost of fencing this ground at the rate of ₹50 per metre?

Solution

Let the radius of the circular playground be x. The area of a circular playground is 22176 $$cm^{2}$$.

$$\dfrac{22}{7}\times r^2=22176$$

$$r=84$$ cm

$$r=0.84m$$

Cost of fencing = Rs 50 per meter

Total cost of fencing = Circumference of playground * Cost of fencing

Total cost of fencing $$=2\times\dfrac{22}{7}\times0.84\times50$$

Total cost of fencing $$=264$$ Rs

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