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:

Given, area of circular playground is 22176 m²

We have to find the cost of fencing this ground at the rate of Rs 50 per metre.

Area of circle = πr²

Where r is the radius

22176 = (22/7)r²

r² = 22176(7)/22

r² = 7056

Taking square root,

r = 84 m

Circumference of circle = 2πr

Circumference of circular playground = 2(22/7)(84)

= 2(22)(12)

= 44(12)

= 528 m

Given, cost of fencing per meter = Rs. 50

Cost of fencing 528 m = 528(50)

= Rs. 26400

Therefore, the cost of fencing is Rs. 26400

✦ Try This: The area of a circular playground is 33282 m² . Find the cost of fencing this ground at the rate of Rs 10 per metre.

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 12

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NCERT Exemplar Class 10 Maths Exercise 11.4 Problem 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

Summary:

The area of a circular playground is 22176 m². The cost of fencing this ground at the rate of Rs 50 per metre is RS. 26400

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