JIPMAT 2022 (QA) - The area of a circular playground is 22176 \ cm^2. What is the cost of fencing this ground at the rate of ₹50 per metre? | PYQs + Solutions | AfterBoards
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JIPMAT 2022

Geometry
>
Circles

Easy

The area of a circular playground is 22176 cm222176 \ cm^2. What is the cost of fencing this ground at the rate of ₹50 per metre?

Correct Option: 1
"Fencing the ground" means applying fences at only the edges of the ground, i.e the perimeter, or circumference, as we call it for the circle.
Area = 2217622176 cm2=πr2cm^2 = \pi r^2
22176=πr222176 = \pi r^2 \newline r2=22176πr^2 = \frac{22176}{\pi} \newline r2=7056r^2 = 7056 \newline r=84r = 84 cm
Circumference = 2πr2\pi r = 2π×842\pi × 84 cm \newline =528= 528 cm \newline =5.28= 5.28 meters
Cost = 5.28×₹505.28 × ₹50 \newline =₹264= ₹264
Therefore, the cost of fencing is ₹264₹264

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