1. The way the question is asked implies the two squares sum to the same area regardless of where you draw them. So let's make them equal size to simplify. 2. That means their shared edge splits the semicircle edge.
Catriona Agg @Cshearer41
24 Aug 2019
What’s the total area of these two squares?
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3. Which means the corner is on the origin, and the opposite corner touches the circle, so the diagonal is a radius, 8 long. 4. So the square side is 4√2, area is 32. Both squares together are thus 64 in area.
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Replying to @tabatkins
Another edge case worth checking: the larger square touches both sides of the circle and is centered. In that case side of the larger square s is such that s^2 + (s/2)^2 = 8^2, so s = 16 / sqrt(5), and s^2 = 256/5. But then how to figure out the size of the smaller square...

Aug 24, 2019 · 6:15 PM UTC