Need Help finding the shaded and unshaded area

First note that the given figure is constructed from area of "semicircles". What is the equation for the area of semi-circle of radius "r"?

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As I see the question there are three circles: one large of radius six units; one of radius four units; and a small of radius two units.
Recall that the area of a circle is \(\bf{A}=\pi r^2\). The gray shaded area is made of the interior median size circle minus the interior of the small circle. Please work out the calculation of that area and post your work and solution.
 
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