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1989 AMC 12 Question 19

AMC12 · 1989 AMC 12

Question 19

A triangle is inscribed in a circle. The vertices of the triangle divide the circle into three arcs of lengths $3,$ $4,$ and $5.$ What is the area of the triangle?
  1. $6$
  2. $\frac{18}{\pi^2}$
  3. $\frac9{\pi^2}(\sqrt3-1)$
  4. $\frac9{\pi^2}(\sqrt3+1)$
  5. $\frac9{\pi^2}(\sqrt3+3)$