To find the circumference of a circle, we use the formula:
[tex]\[ C = 2 \pi r \][/tex]
Where:
- [tex]\( C \)[/tex] represents the circumference,
- [tex]\( \pi \)[/tex] (pi) is approximately 3.14,
- [tex]\( r \)[/tex] is the radius of the circle.
Given the radius [tex]\( r = 9.7 \)[/tex] inches and using [tex]\( \pi = 3.14 \)[/tex], the circumference calculation proceeds as follows:
1. Substitute the values into the formula:
[tex]\[ C = 2 \times 3.14 \times 9.7 \][/tex]
2. Perform the multiplication step-by-step:
- First, multiply 3.14 by 9.7:
[tex]\[ 3.14 \times 9.7 = 30.458 \][/tex]
- Next, multiply the result by 2 to account for the [tex]\( 2 \pi r \)[/tex] part of the formula:
[tex]\[ 2 \times 30.458 = 60.916 \][/tex]
Therefore, the circumference of the circle is:
[tex]\[ 60.916 \, \text{inches} \][/tex]