Question

A circle is inscribed in a square as shown. If the radius of the circle is $4$ cm, then the perimeter of the square is _____ .

• A. $28$ cm
• B. $24$ cm
• C. $32$ cm
• D. $36$ cm

Answer 1

The correct option is C $32$ cm

Check figure.

We draw a radius at an angle of $90$ degrees from the first radii.

We observe that a square is formed.

This shows us that half a side of square $=4$ cm

Thus, length of one side= $4\times 2=8$ cm

Perimeter $=$ $4\times \text{side}=4\times 8=32$ cm