2013 UNCO Math Contest II Problems/Problem 1
In the diagram, the two circles are tangent to the two parallel lines. The distance between the centers of the circles is , and both circles have radius . What is the area of the shaded region between the circles?
Notice that the shaded area is equivalent to the area of a rectangle subtracted by the area of 2 semicircles. Since we know that the radius of the circles are , we can find the width of the rectangle to be . Solving for the shaded area, we get ~pineconee
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