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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

  1. $\frac{P^{2}}{16}-R^{2}$
  2. $\frac{P^{2}}{8}-2 R^{2} $
  3. $\frac{P^{2}}{2}-2 P R $
  4. $\frac{P^{2}}{8}-\frac{R^{2}}{2}$
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