SOLUTION: The floor of a rectangular room that measures 10 feet by 12 feet is partially covered by a circular rug with a radius of 4 feet. What percent of the floor is covered by the rug? (H

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Question 144637This question is from textbook
: The floor of a rectangular room that measures 10 feet by 12 feet is partially covered by a circular rug with a radius of 4 feet. What percent of the floor is covered by the rug? (Hint: The area of a circle is A=(oie sign)r2).
So I know that radius of the rug which I believe is 16 (pie sign) which means that 44 is the entire area - 16 which leaves you with 28, I'm just having a problem with how to set this problem up and come up with the answer which I believe is right around 63.6363% but I still need to know how to set up the problem.
Thanks for any help This question is from textbook

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The total area of the floor is 10x12 = 120 square feet.
The area of the rug is PIx4x4 = 50.27 square feet.
50.27/120 = 0.4189 = 41.89%