SOLUTION: A circular room has a floor surface area of 400π square feet. What is the radius of the circular floor? Show your work. What is the circumference of the circular floor? Show y
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Question 1038277: A circular room has a floor surface area of 400π square feet. What is the radius of the circular floor? Show your work. What is the circumference of the circular floor? Show your work. Found 3 solutions by Alan3354, Othel, MathTherapy:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! A circular room has a floor surface area of 400π square feet.
What is the radius of the circular floor?
Area = pi*r^2 = 400*pi
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What is the circumference of the circular floor?
C = 2pi*r
You can put this solution on YOUR website! We know that the area of a circle is defined as .
Since we already have the area, and need to determine the radius, we just use a little algebra.
, since we know that the radius is positive, we do not need to take the positive and negative of r, only the positive. So the radius is...
and then...
Approximately 11.3 rounded to the tenths
And the circumference of the floor is
which is
so...
which is approximately 70.9 rounded to the tenth
I hope this helps! Learn on
You can put this solution on YOUR website!
A circular room has a floor surface area of 400π square feet. What is the radius of the circular floor? Show your work. What is the circumference of the circular floor? Show your work.
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