Question

1m is inscribed in a square as shown below, find the perimeter of the square.

• A. 7 m
• B. 4m
• C. 8m
• D. 6m

Answer 1

The correct option is C

8m

Let O be the center of the circle
OEBF forms a square.
Since all the angles are equal to ${90}^{\circ }$ and all side are equal of length 1.
BE = 1m
Similarly
AE =1m
So side length of the square = AE+BE
= 2m
Perimeter of the square whose side length is a = 4a
Perimeter of the given square = 4$\times$ 2= 8.