Answer:
To find the area of the shaded shape, we need to find the area of each of the semicircles and then add them together.
The area of a circle is given by the formula:
area = pi * r^2
Where r is the radius of the circle.
The radius of a circle is half the diameter, so the radius of the smaller semicircle is 6 cm and the radius of the larger semicircle is 10 cm.
Plugging these values into the formula, we get:
Area of smaller semicircle = pi * 6^2 = 36 * pi cm^2 Area of larger semicircle = pi * 10^2 = 100 * pi cm^2
To find the total area of the shaded shape, we need to add these two areas together:
Total area = 36 * pi cm^2 + 100 * pi cm^2 = 136 * pi cm^2
The final answer is 136 * pi cm^2.