Question
The circumference of a circle is 36 pi feet. What is the length of the radius of this circle?
9 ft
18 ft
36 ft
72 ft
9 ft
18 ft
36 ft
72 ft
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To find the radius of a circle when you know its circumference, you can use the formula for the circumference of a circle:
\[
C = 2\pi r
\]
where \(C\) is the circumference and \(r\) is the radius.
Given that the circumference \(C\) is \(36\pi\) feet, we can set up the equation:
\[
36\pi = 2\pi r
\]
Next, we can divide both sides by \(2\pi\):
\[
\frac{36\pi}{2\pi} = r
\]
This simplifies to:
\[
\frac{36}{2} = r
\]
\[
r = 18
\]
So, the length of the radius of the circle is \(18\) feet.
The correct answer is **18 ft**.
\[
C = 2\pi r
\]
where \(C\) is the circumference and \(r\) is the radius.
Given that the circumference \(C\) is \(36\pi\) feet, we can set up the equation:
\[
36\pi = 2\pi r
\]
Next, we can divide both sides by \(2\pi\):
\[
\frac{36\pi}{2\pi} = r
\]
This simplifies to:
\[
\frac{36}{2} = r
\]
\[
r = 18
\]
So, the length of the radius of the circle is \(18\) feet.
The correct answer is **18 ft**.
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