Question

The cost of fencing a circular park is ₹2200 at the rate of ₹70 per metre. What is the radius of the circular park ?

• A. 5 m
• B. 7 m
• C. 9 m
• D. 10 m

Answer 1

The correct option is A 5 m

The cost of fencing the circular park = ₹2200
Unit cost of fencing = ₹70

Circumference of the circle = $\frac{TotalCostoffencing}{Unitcost}$
Circumference of the circle = $\frac{2200}{70}$
Now, the circumference if circle is given by $2\pi r$
Hence, $2\pi r$ = $\frac{2200}{70}$
r = $\frac{2200\times 7}{70\times 2\times 22}$
Hence r = $\frac{10}{2}$
Radius of the park is = 5 m