Sure! To find the circumference of a circle given its radius, you can use the formula:
[tex]\[
C = 2 \pi r
\][/tex]
where [tex]\( C \)[/tex] represents the circumference, [tex]\( \pi \)[/tex] (pi) is a mathematical constant approximately equal to 3.14, and [tex]\( r \)[/tex] is the radius of the circle.
Let's break down the steps:
1. Identify the values:
- Radius ( [tex]\( r \)[/tex] ) = 6 feet
- Pi ( [tex]\( \pi \)[/tex] ) ≈ 3.14
2. Substitute the values into the formula:
[tex]\[
C = 2 \times \pi \times r
\][/tex]
[tex]\[
C = 2 \times 3.14 \times 6
\][/tex]
3. Perform the multiplication:
[tex]\[
C = 2 \times 3.14 \times 6 = 2 \times 18.84 = 37.68
\][/tex]
4. Round the result to the nearest hundredth:
The result is already to the nearest hundredth, so no further rounding is needed.
Thus, the circumference of the circle is:
[tex]\[
C = 37.68 \text{ feet}
\][/tex]
So, the circle's circumference is 37.68 feet.
