To find the circumference of a circle with a given radius, we can use the formula for the circumference, which is:
[tex]\[ C = 2 \pi r \][/tex]
where:
- \( C \) is the circumference,
- \( \pi \) is a constant approximately equal to 3.14159,
- \( r \) is the radius of the circle.
Given the radius \( r = 6 \), we substitute this value into the formula:
[tex]\[ C = 2 \pi (6) \][/tex]
Now, we simply multiply the constants and the radius:
[tex]\[ C = 12 \pi \][/tex]
Thus, the circumference of the circle with a radius of 6 is:
[tex]\[ 12 \pi \][/tex]
So, the correct answer is [tex]\( 12 \pi \)[/tex].
