Find the circumference of a circle with a radius of 6. Leave your answer in terms of [tex]\pi[/tex].

A. [tex]3\pi[/tex]
B. [tex]12\pi[/tex]
C. [tex]36\pi[/tex]
D. [tex]6\pi[/tex]



Answer :

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].

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