Question

Let $C$ and $S$ denote the perimeters of circle and square respectively. If area of circle and square are equal then what can you say about their perimeters?

• A. $S<C$
• B. $S>C$
• C. $S=C$
• D. Can't determine

Answer 1

The correct option is B $S>C$

The area of circle $=$ area of square

$\pi \times r^2$ $=$ $a^2$

$a=1.77r$

Perimeter of square$=$ $4a$

Perimeter of circle $=$ $3.54a$

Perimeter of square is more than circle.

Hence, Option B is correct.