The figure below shows 2 tangent circles such that the 10-centimeter diameter

The figure below shows 2 tangent circles such that the 10-centimeter diameter of the smaller circle is equal to the radius of the larger circle. What is the area, in square centimeters, of the shaded region?

  1. 10
  2. 75
  3. 5π
  4. 10π
  5. 75π

Answer

The correct answer is E.

The shaded area is the area of the larger circle minus the area of the smaller circle.

Area of the circle = πr2

Area of the larger circle = π(10)2 = 100π

Area of the smaller circle = π(5)2 = 25π

Difference is 75π.