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CAT 2005 | Question: 24

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$\text{P, Q, S}$ and $\text{R}$ are points on the circumference of a circle of radius $r,$ such that $\text{PQR}$ is an equilateral triangle and $\text{PS}$ is a diameter of the circle. What is the perimeter of the quadrilateral $\text{PQSR}?$

  1. $2r(1+\sqrt{3})$
  2. $2r(2+\sqrt{3})$
  3. $r(1+\sqrt{5})$
  4. $2r +\sqrt{3}$
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