CAT 2022 Set-1 | Quantitative Aptitude | Question: 12

Question

All the vertices of a rectangle lie on a circle of radius $R$. If the perimeter of the rectangle is $P$, then the area of the rectangle is

• A. $\frac{P^{2}}{16}-R^{2}$
• B. $\frac{P^{2}}{8}-2 R^{2} $
• C. $\frac{P^{2}}{2}-2 P R $
• D. $\frac{P^{2}}{8}-\frac{R^{2}}{2}$