The area of a circular playground is 22176 sq m. The cost of fencing this ground at the rate of Rs 50 per meter is

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52800

26400

13200

10560

answer is B.

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Detailed Solution

Concept: First, let's draw a diagram to better understand the problem. Please note that the outer perimeter of the playground is fenced. The length of the outer perimeter is also called the perimeter of this shape. Therefore, we need to find the perimeter or perimeter of the circular floor. To get the perimeter you need the radius. Based on the given area, we can find the radius of the circular base. The area of a circle is given by the relation

. where r is the radius. Once we can find the radius, we can find the perimeter given by the relation 2πr. Therefore, the perimeter is the length that must be fenced. Get the price for 1 meter of fence. To get the total cost of a fence, you need to multiply its cost by its perimeter
The area of the circular property is given as 22176 square meters. It is known that the area of a
circle is given by the relation of

. Where A is the area and r is the radius of the circle. Substitute

for equation

and find the value of r in the equation.