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Q.

If the radius of a circle is $\frac{7}{\sqrt{π}}$ , what is the area of the circle (in $c m^{2}$ )?

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a

154

b

\frac{49}{π}

c

22

d

49

answer is D.

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Detailed Solution

Given the radius of circle

r = \frac{7}{\sqrt{π}}

.
Now the area of the circle

= π (r)^{2} .

\Rightarrow π \times (\frac{7}{\sqrt{π}})^{2}

\Rightarrow π \times \frac{49}{π}

\Rightarrow {49 cm}^{2}

Hence, the area of the circle is 49 sq. cm.
Hence, option 4 is correct.

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