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1989 AMC 12 Question 13

AMC12 · 1989 AMC 12

Question 13

Two strips of width $1$ overlap at an angle of $\alpha$ as shown. The area of the overlap (shown shaded) is

Question illustration
  1. $\sin\alpha$
  2. $\frac1{\sin\alpha}$
  3. $\frac1{1-\cos\alpha}$
  4. $\frac1{\sin^2\alpha}$
  5. $\frac1{(1-\cos\alpha)^2}$