Find the area of the circle if the side length of square is 10.
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From the midpoint of BC draw the radius to the centre of the circle (O), then 2 more radii OA and OD. The midpoint of AD will be called M.
Looking across the square, we have 10 = r + rcos(AOM). Then down the square, 10 = 2rsin(AOM). Use cos^2 + sin^2 = 1 to solve for r. r = 25/4 Then area of a circle is pi r^2...