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
$=\frac{1}{2}\times R\times R=\frac{R^2}{2}$