The figure below consists of four semicircles and the 16-cm diameter of the largest semicircle. What is the total number of square cm in the area of the two shaded regions? Use 3.14 as an approximation for $\pi$, and express your answer as a decimal to the nearest tenth.

Guest Jul 28, 2020

#1**0 **

Use the formula Area = ½·pi·radius^{2} to find the areas of the following semi-circles.

Step 1) Find the area of the largest semi-circle; it would be grey if it were competely

shaded and its radius is 8.

Step 2) Find the area of the next-largest semi-circle; it would be white if it were completely

shaded and its radius is 6.

Step 3) Find the area of the second-smallest semi-circle; it would be grey if it were completely

shaded and its radius is 4.

Step 4) Find the area of the smallest semi-circle; it would be white if it were completly

shaded and its radius is 2.

Start with the answer of Step 1; subtract the area of Step 2; add the area of Step 3; and, finally,

subtract the area of Step 4.

geno3141 Jul 28, 2020