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The area of the circular playground is 22176.cm2 . Find the cost of fencing this

ground at the Rate of Rs. 50o per meter.

Class: Grade 9

Subiect : Mathematics

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262

384

264

348

answer is C.

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Detailed Solution

The rate of ground is 50 per meter. Question Image

Area of the Circular playground is 22176 cm2
The Area A of the circle with radius r is given by
A =

π

r2
Substituting the value of A as 22176 cm2 Calculating the value of r as:
22176 =

\frac{22}{7}

{2^{}}^{}

\frac{22176 \times 7}{22}

=r2
1008

\times 7

=r2
7056=r2
r=

\sqrt{7056}

r=84 cm
The length of Circumference c of the circle is
c=2

πr

Value of r as 84 cm
c=2

\times \frac{22}{7} \times 84

c=528
The length of fence in meter is 5.28 cm
5.28

\times

50
=264 m

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