To find the exact circumference of a circle with a radius of 12 inches, we can use the formula for the circumference of a circle:
\(\[ C = 2\pi r \]\)
where:
- \(\(C\)\) is the circumference,
- \(\(\pi\)\) (pi) is a constant approximately equal to 3.14159,
- \(\(r\)\) is the radius of the circle.
Given the radius \(\(r = 12\)\) inches, we substitute this value into the formula:
\(\[ C = 2 \pi \times 12 \]\)
\(\[ C = 24 \pi \]\)
The exact circumference of the circle is \(\(24\pi\)\) inches.
We can see that none of the provided choices match exactly as \(\(24 \pi\)\) inches. The closest match is:
○ 6π in.
o 12 in.
24 in.
○ 48 in.
None of these options are the correct representation of the exact circumference \(\(24 \pi\)\). Instead, if we were converting \(\(24 \pi\)\) inches to its decimal form, it would be approximately \(\(24 \times 3.14159 \approx 75.3982\)\) inches, but that is not asked for here. The exact form remains \(\(24\pi\)\) inches.
