Question

The maximum area of a rectangle that can be inscribed in a circle of radius $2$ units is (in square units)

• A. $4$
• B. $8\pi$
• C. $8$
• D. $5$

Answer 1

Answer: (C)

The maximum area of a rectangle that inscribed in a circle is equal to the area of square whose diagonal length is $4$ unit.

Let the side of square be $x$ unit.
$\therefore (4{)}^2=x^2+x^2$
$\Rightarrow 2x^2=16$
$\Rightarrow x^2=8$ sq unit