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Q.

A wire in the form of a circle of diameter 42 cm is cut and bent to form a square. Find out the side of the square.


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a

    16 cm

b

    17 cm

c

    33 cm

d

    16.5 cm 

answer is C.

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Detailed Solution

It is given that,
A Square is formed by bending a circle.
Therefore,
Perimeter of square = Circumference of circle
⇒4×side=2πr ⇒4×side=πd       {2r=d}    where dis diameter.
Here, d=42 cm.
Then,
4×side=227×42 ⇒4×side=132 ⇒side=33 cm Therefore, the side of the square is 33 cm.
Hence, option (3) is correct.
 
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