SOLUTION: A circular rug has an interior circle and two rings around the circle.
a. Write a polynomial that represents the total area of the rug if the radius of the interior rug is r and
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Question 1014254: A circular rug has an interior circle and two rings around the circle.
a. Write a polynomial that represents the total area of the rug if the radius of the interior rug is r and each ring is 1 ft. from edge to edge.
I got the answer to part a: Area= pi(4+4Runner+r^2)
Could you please help me with part b?
b. The interior circle of the rug has a diameter of 3 feet. What is the area of the rug? Leave your answer in terms of pi. Explain how you found your answer.
Thank you!
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The answer to part a: can be written as ,
or even as ,
but given , it may be easier to calculate area using the equivalent expression
.
The radius of the interior circle is
,
so, using the "formula" for area found above, the area of the rug in square feet, is
.
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