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

1 answer

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.