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1954 AMC 12 Question 9

AMC12 · 1954 AMC 12

Question 9

A point $P$ is outside a circle and is $13$ inches from the center. A secant from $P$ cuts the circle at $Q$ and $R$ so that the external segment of the secant $\overline{PQ}$ is $9$ inches and $\overline{QR}$ is $7$ inches. The radius of the circle is:
  1. $3$ in.
  2. $4$ in.
  3. $5$ in.
  4. $6$ in.
  5. $7$ in.