Problem:
I have got so far that the radius of the small semi-circle + the radius of the larger semi circle is 2. I'm not sure how to proceed, however...
Any help?
Edit:
2026-04-22 10:49:05.1776854945
Finding the total area of different semi circles within a square.
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Let the larger semicircle have radius $r$. We see that, since it's angled at $45^\circ$, $$r+\frac{\sqrt2}2r=2\implies r=\frac2{1+\sqrt2/2}=4(1-\sqrt2/2)$$ From here you should be able to work out the solution, since you know the sum of the semicircle radii.