Online Course Discussion Forum
About AMC 12 Circles II Problem #29
That's correct, Fan, the area of the semicircles should be divided by $2$, so the combined areas of the three semicircles is be $\displaystyle \frac{9\pi}{8}$. Thus the final answer is $$\frac{\pi+6\sqrt{3}}{8}.$$
We'll update the solution on the handout. Thank you for letting us know!
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