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1994 AMC 12 Question 29

AMC12 · 1994 AMC 12

Question 29

Points $A,$ $B$ and $C$ on a circle of radius $r$ are situated so that $AB=AC,$ $AB\gt r,$ and the length of minor arc $\overset{\frown}{BC}$ is $r.$ If angles are measured in radians, then $\frac{AB}{BC}=$

Question illustration
  1. $\frac12\csc\frac14$
  2. $2\cos\frac12$
  3. $4\sin\frac12$
  4. $\csc\frac12$
  5. $2\sec\frac12$