Question 1014249: A circular rug has an interior circle and two rings around the circle. 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've done some work, and I know that the radius of a circle is pi r squared.
Found 2 solutions by Theo, josmiceli:
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! you are correct.
the area of a circle is equal to pi * r^2.
the key is finding the radius of the whole rug, including the outer rings.
the radius of the interior rug is pi * r^2.
r represents the radius of the interior rug.
each of the rings around the interior rug is 1 foot wide.
i believe that's what they mean by 1 foot edge to edge.
your total radius of the whole rug, including the rings around the interior, would be r + 2.
the area of your rug, including the rugs around it, would therefore be equal to pi * (r+2)^2.
your equation, as best i can interpret it is, a = pi * (r+2)^2.
a is the area of the rug, including the outer rings.
r + 2 is the radius of the rug, including the outer rings.
Answer by josmiceli(19441)  (Show Source):
|
|
|
