Acircle with a radius of 3 cm sits inside a circle with radius of 5 cm. what is the area of the shaded region

For this case we have that the area of the shaded region is given by the subtraction of areas of both circles. That is to say:

Where:

It is the radius of the major circle

: It is the radius of the smaller circle

According to the data we have:

Taking

So, the area of the shaded region is