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1967 AMC 12 Question 5

AMC12 · 1967 AMC 12

Question 5

A triangle is circumscribed about a circle of radius $r$ inches. If the perimeter of the triangle is $P$ inches and the area is $K$ square inches, then $\frac{P}{K}$ is:
  1. independent of the value of $r$
  2. $\dfrac{\sqrt2}{r}$
  3. $\dfrac{2}{\sqrt r}$
  4. $\dfrac2r$
  5. $\dfrac r2$