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1993 AMC 12 Question 17

AMC12 · 1993 AMC 12

Question 17

Amy painted a dart board over a square clock face using the “hour positions” as boundaries. [See figure.] If $t$ is the area of one of the eight triangular regions such as that between $12$ o’clock and $1$ o’clock, and $q$ is the area of one of the four corner quadrilaterals such as that between $1$ o’clock and $2$ o’clock, then $\frac qt=$

Question illustration
  1. $2\sqrt3-2$
  2. $\frac32$
  3. $\frac{\sqrt5+1}{2}$
  4. $\sqrt3$
  5. $2$