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The area of a circular playground is $88704 m 2$ . Find the cost of fencing this ground at the rate of ₹ 65 per meter.

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Rs 68640

Rs 65000

answer is A.

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Detailed Solution

Given that, the area of a circular playground is 88704

m^{2}

and the cost of fencing of this ground at the rate of rupees 65 per meter.
We know that the area of circle is

π r 2

.
Let the radius of the circular ground be r.
Equate the area of circle to

π r 2

and find the value of r.

88704 = 227 × r 2

⇒

r 2 = 88704 × 722

⇒

r 2 = 28224

⇒

r = 168 cm
Calculating the circumference of circular ground,

2 π r = 2 × 227 × 168

⇒

1056 m
Cost of fencing per meter is Rs.65.
Calculating the cost of fencing of the ground having 1056 metre as the circumference by computing the product of 1056 and 65,

65 × 1056 = 68640

Therefore, the cost of fencing this ground at the rate of rupees 65 per meter is Rs 68640.
Hence the correct option is 1.

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