<p>Another way to get the answer is to …</p>
<p>take the top half of the circle</p>
<p>reflect it such that arc AB forms a circle, arc AC forms a circle, and arc AD forms a circle.</p>
<p>you now have three circle, each a different size. Now you find the area using A=pi x r^2</p>
<p>because you only want the shaded region, the equation should look like this</p>
<p>A= pi x 3^2 - pi x 2^2 + pi x 1^2
A= 9pi - 4pi + pi
A= 9pi - 3pi
A= 6pi</p>
<p>*the “pi x 3^2” is the area of the largest circle with diameter AD
*the “pi x 2^2” is the area of the not shaded circle with diameter AC
*the “pi x 1^2” is the area of the smallest shaded circle with diameter AB</p>
<p>The answer is C, 6pi</p>