Find the area of the shaded region of the figure shown . Leave your answer in terms of pi?

Answer 1

To find the area of the shaded region, we first need to find the area of the larger circle and then subtract the area of the smaller circle.

The area of a circle is given by the formula A = πr^2, where r is the radius of the circle.

In this case, the radius of the larger circle is 8cm and the radius of the smaller circle is 4cm.

Area of larger circle = π(8)^2 = 64π
Area of smaller circle = π(4)^2 = 16π

Now, the area of the shaded region is:
Area of shaded region = Area of larger circle - Area of smaller circle
Area of shaded region = 64π - 16π
Area of shaded region = 48π

Therefore, the area of the shaded region is 48π square centimeters.