The answer is B: 6.
To find the radius of a circle given its circumference, we can use the formula for the circumference of a circle, which is:
\[ C = 2\pi r \]
where \( C \) is the circumference and \( r \) is the radius.
Given that the circumference \( C \) is \( 36\pi \), we can set up the equation:
\[ 36\pi = 2\pi r \]
To solve for \( r \), we divide both sides of the equation by \( 2\pi \):
\[ r = \frac{36\pi}{2\pi} \]
\[ r = \frac{36}{2} \]
\[ r = 18 \]
Therefore, the radius of the circle is 18. However, this contradicts the options provided. Let's re-evaluate the options and the calculation.
Given the circumference \( 36\pi \):
\[ 36\pi = 2\pi r \]
Divide both sides by \( 2\pi \):
\[ r = \frac{36\pi}{2\pi} \]
\[ r = 18 \]
It seems there was a mistake in the initial interpretation. The correct calculation should be:
\[ r = \frac{36}{2} \]
\[ r = 18 \]
Thus, the correct answer is indeed A: 18.