To find the radius of the circle, we use the fact that its circumference is obtained by multiplying two twice the radius with π.
C = 2π r ⇒ 16π = 2π r
From the equation above, we can get that r=8 units. Therefore, the area of the entire circle is A=8^2π, or 64π units^2. Finally, notice that each shaded area represents one-quarter of the circle.
The total area of the shaded regions is given by the expression below.
Shaded Area = 1/4A + 1/4A
Let's substitute the area of the circle into the equation above to find the area of the shaded regions.
