The area of a circular playground is 22176 m2. Find the cost of fencing this ground at the rate of `50 per m.
Area of the circular playground = 22176 m2 (Given)
Let r be the radius of the circle.
∴ πr2 = 22176
⇒ (22/7)r2 = 22176
⇒ r2 = 22176 × (22/7)
⇒ r2 = 7056
⇒ r = 84
∴ Radius of the circular playground = 84 m
Now, circumference of the circle = 2πr
= 2×(22/7)×84
= 528 m
Cost of fencing 1 meter of ground = Rs 50
∴ Cost of fencing the total ground = Rs 528 × 50 = Rs 26,400