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1973 AMC 12 Question 15

AMC12 · 1973 AMC 12

Question 15

A sector with acute central angle $\theta$ is cut from a circle of radius $6.$ The radius of the circle circumscribed about the sector is
  1. $3\cos\theta$
  2. $3\sec\theta$
  3. $3\cos\frac12\theta$
  4. $3\sec\frac12\theta$
  5. $3$