Question

A wire is bent in the form of a circle with radius $25cm$. It is straightened and made into a square. What is the length of the side of the square?

• A. $39.25cm$.
• B. $55.25cm$.
• C. $90.25cm$.
• D. None of these

Answer 1

The correct option is A $39.25cm$.

Given radius of circle is $25cm$

Length of the wire will be equal to perimeter of the circle

$⟹$ length of the wire is $2\pi \left(25\right)=2\times 3.14\times 25=157cm$

Now the wire is made in the form of a square

Let Length of the side of the square is $scm$

As we know that

Length of the wire is equal to the perimeter of the square

$⟹$Perimeter of the square is $157cm$

$⟹4s=157⟹s=\frac{157}{4}=39.25cm$

Length of the side of the square is $39.25cm$