The answer is 36.24771931898707
First you have to find the area of the rectangle.
The formula for the area of a rectangle is
A=BH
A= 32*24
A=768
Then you find the area of the circle
The formula for the area of a circle is
A= πr^2
The diameter of the circle is 32, so to find the radius you divide it by 2. So the radius is 16.
A= π16^2
A= π256
A= 804.2477193189871.
Then you have to subtract the area of the rectangle to the area of the circle to get the shaded area.
804.2477193189871-768= 36.24771931898707.
So the area of the shaded region is 36.24771931898707.