In ΔABC, m∠A=40∘, m∠B=90∘, and m∠C=50∘. If the triangle is rotated 90∘ clockwise about a point, what is the measure of ∠A?

answer rather than having to add and subtract the measurements of the semi-circle, notice that the semicircle to the left of ad is actually identical in area to the blank semicircle-shaped space to the left of bc. so if we transferred the red semicircle into the blank space, we would end up with a square of side length 24 cm. the area of a square is s^2 = 24^2 = 676 cm^2.

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1/800 is the right answer

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