Question

The maximum area of a square that can be inscribed in a circle of radius r is

• A. $r^2$
• B. $2r^2$
• C. $4r^2$
• D. $\pi r^2$

Answer 1

Answer: (B)

$2r^2$

Length of the diagonal of the square with maximum area that can be inscribed in a circle $=2r$
Let the length of side of square $=s$
Therefore $\sqrt{2}s=2r$
$\Rightarrow s=\sqrt{2}r$
Area of the square $=s^2=2r^2$ sq. units