Question

The maximum area of rectangle inscribed in a circle of diameter $R$ is

• A. $R ^{2}$
• B. $\frac{ R ^{2}}{2}$
• C. $\frac{ R ^{2}}{4}$
• D. $\frac{ R ^{2}}{8}$

Answer 1

Answer: (B)

The diagonal $= R$
Thus the area of rectangle
$=\frac{1}{2} \times R \times R =\frac{ R ^{2}}{2}$