Find the area of the shaded region. round to the nearest tenth if necessary.

Find the area of the large circle, and subtract the areas of the three smaller circles.

Large circle: diameter = 22 cm; radius = 11 cm

A = pi r^2 = pi * (11 cm)^2 = 121pi cm^2

Circle with 7 cm radius:

A = pi r^2 = pi * (7 cm)^2 = 49pi cm^2

Two small circles:
The largest circle has diameter = 22 cm.
The next larger circle has radius = 7 cm, so diameter = 14 cm
22 cm - 14 cm = 8 cm
The two smallest circles have a sum of diameters = 8 cm
Each smallest diameter = 4 cm, so each smallest radius = 2 cm
A = pi r^2 = pi * (2 cm)^2 = 4pi cm^2 (for each of the smallest circles)

Shaded area = 121pi cm^2 - 49pi cm^2 - 4pi cm^2 - 4 pi cm^2

Shaded area = 64pi cm^2 = 64 * 3.14159... cm^2 = 201.0619... cm^2

The shaded area is 201.1 cm^2

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