SOLUTION: virgina has a circular rug on her square living room floor as represented in the accompanying diagram. If her living room floor measures 100 square feet, what is the area of the pa

Question 427748: virgina has a circular rug on her square living room floor as represented in the accompanying diagram. If her living room floor measures 100 square feet, what is the area of the part of the floor covered by the rug?
*The diagram is a square with a circle inside it that's shaded.
Thank you so much.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
virgina has a circular rug on her square living room floor as represented in the accompanying diagram.
If her living room floor measures 100 square feet, what is the area of the part of the floor covered by the rug?
:
Assume the the round rug diameter is the same as one side (s) of the square room
s =
s = 10 ft, this also the diameter of the rug
then
r = 5 ft, the radius of the rug
:
Find the area of the round rug
A =
A =
A =
A = 78.54 sq/ft is the area covered by the rug
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