The area of a circular playground is 22176 m². Find the cost of fencing this ground at the rate of Rs 50 per m.

Given: Area of playground = 22176 m²

Cost of fencing = Rs50/m

To find: Cost of fencing.

Explanation:

Area of the circular playground = 22176 m²

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