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Q.

A square is drawn of area 21 c m 2  . Find the area of the circle whose radius is one-third the area of the square.


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a

154 c m 2  

b

155 c m 2  

c

156 c m 2  

d

157 c m 2   

answer is A.

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Detailed Solution

Given that the area of the square is 21 c m 2  .
We have to find the area of the circle whose radius is one-third the area of the square.
Area of the circle is π r 2 .  
Radius, r of the circle is,      r= 1 3 ×21 ∴r=7cm  
Thus, the area of the circle, A is,
A=π r 2 ⇒A= 22 7 ×7×7 ∴A=154c m 2  
Therefore, the area of the given circle is 154 c m 2  .
Therefore, the correct option is 1.
 
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