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

Sum

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

#### Solution

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

Concept: Circumference of a Circle
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#### APPEARS IN

NCERT Mathematics Exemplar Class 10
Chapter 11 Area Related To Circles
Exercise 11.4 | Q 1 | Page 132

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