Circle- the area of a circle is pi×radius×radius. We have the diameter (10.5) so we need to divide by 2 to get our radius (5.25). 3.14×5.25×5.25= 86.54625. (Remember that there are 2 semi circles, not one, so you wouldnt have to divide by 2)
Shaded region- to find the area of the shaded region, you need to multiply the length by the height and subtract the area of the circles. If we plug in our numbers, it would be 12×10.5= 126 - 86.54625= 39.45375 in sq