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Nice question. I'm so used to dealing with straight lines that the curved lines forced my brain to work a little extra.
We need to find: (Area of Region A) - (Area of Region B)
Approach: (Area of small semi-circle) - (Area of one of the corners)
Calculation:\( \frac{(2.5)^2π}{2}-\frac{10*10-5^2π}{4}=\frac{6.25π}{2}-\frac{100-25π}{4}=\frac{12.5π-100+25π}{4}=\frac{37.5π-100}{4}=\frac{75π-200}{8} \)
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