Question

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

• A. 4r
• B. $2r\sqrt{3}$
• C. $2r(1+\sqrt{3})$
• D. $4r\sqrt{3}$
• E. $4r(1+\sqrt{3})$

Answer 1

Answer: (C)

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

Answer 2

The correct option is (C): $2r(1+\sqrt{3})$