Answer:
The area of the shaded region is 7π square centimeters.
Step-by-step explanation:
Note that Circle B has a radius of 3 cm, and the two smaller circles, Circles O and C, both have a radius of 1 cm.
The area of a circle is given by:
Therefore, the area of Circle B, the entire circle, is:
The area of Circle O is:
And likewise, the area of Circle C is:
The area of the shaded area is the area of the Circle B subtracted by the area of Circles O and C. Hence:
Substitute and evaluate:
The area of the shaded region is 7π square centimeters.