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2003 AMC 10A Question 17

AMC10 · 2003 AMC 10A

Question 17

The number of inches in the perimeter of an equilateral triangle equals the number of square inches in the area of its circumscribed circle. What is the radius, in inches, of the circle?
  1. $\dfrac{3\sqrt{2}}{\pi}$
  2. $\dfrac{3\sqrt{3}}{\pi}$
  3. $\sqrt{3}$
  4. $\dfrac{6}{\pi}$
  5. $\sqrt{3}\pi$