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
