15. A large circle with radius R inches is shown in the figure below; 3 small nonoverlapping circles, each with radius r inches, are removed from the large circle. The shaded region is the area of the large circle remaining after the 3 circles were removed. What is the area, in square inches, of the shaded region?

Answer and Explanation

Your Answer is

Correct Answer is E

Explanation

First find the area of ​​the great circle, which is π R2. The area of ​​the small circle is πr2. Then the shaded area is the area of ​​the large circle minus the area of ​​the 3 small circles, which is πR2-3πr2.