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Challenge 170: Fill the Shape?

Can you find the proportion of the area of the triangle will be taken up by the semicircle?

If I draw the largest possible semicircle inside an equilateral triangle with sides of 5cm, what proportion of the area of the triangle will be taken up by the semicircle?

If I now draw the largest possible semicircle inside a square, what proportion of the area of the square will be taken up by the semicircle?