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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.

 Jul 28, 2020
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Use the formula  Area  =  ½·pi·radius2  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.

 Jul 28, 2020

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