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1957 AMC 12 Question 46

AMC12 · 1957 AMC 12

Question 46

Two perpendicular chords intersect in a circle. The segments of one chord are $3$ and $4;$ the segments of the other are $6$ and $2.$ Then the diameter of the circle is:
  1. $\sqrt{89}$
  2. $\sqrt{56}$
  3. $\sqrt{61}$
  4. $\sqrt{75}$
  5. $\sqrt{65}$