Question 221718
I can't "see" your picture, so I don't know what part of this is shaded.  However, the rectangle inscribed inside the circle is 6 by 8, with center at the center of the circle.  The diagonal of the rectangle will be the same as the diameter of the circle.  By Theorem of Pythagoras, 6^2 + 8^2 = d^2, so d is 10.  Therefore the radius of the circle is 5 feet.  


As I said, I don't know what area is shaded, but the area of the circle is 
{{{A= pi*r^2= 25 *pi}}} sq. ft. 


The area of the rectangle is A=LW= 48 sq. ft.


You probably have to subtract the areas to get the shaded area.  My guess is that the area is {{{25*pi - 48}}} sq. ft.


R^2


Dr. Robert J. Rapalje, Retired
Seminole State College
Altamonte Springs Campus.