SOLUTION: Find the area of the shaded area in the following figure if the rectangle inscribed in the circle has dimensions 8ft x 6ft

Question 221718: Find the area of the shaded area in the following figure if the rectangle inscribed in the circle has dimensions 8ft x 6ft

Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
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
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 sq. ft.

R^2

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