The area of a circular playground is 22176 m2. Find the cost of fencin

1.	The area of a circular playground is 22176 m2. Find the cost of fencing this ground at the rate of Rs 50 per metre.
Answer» According to the question, 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

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

Answer»

According to the question,

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