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

CAT Medium Circles MCQ

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:

Options

A.

\frac{P^2}{2} - 2PR

B.

\frac{P^2}{8} - 2R^2

C.

\frac{P^2}{16} - R^2

D.

\frac{P^2}{8} - \frac{R^2}{2}

geometrycirclerectanglearea calculationcat 2022

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