To find the circumference of a circle with a radius of 9.5 meters, we use the formula:
[tex]\[ C = 2\pi r \][/tex]
where:
- [tex]\( C \)[/tex] is the circumference,
- [tex]\( \pi \)[/tex] (pi) is approximately 3.14159,
- [tex]\( r \)[/tex] is the radius of the circle.
Here are the detailed steps to calculate the circumference and round it to the nearest tenth:
1. Identify the radius: The radius ([tex]\( r \)[/tex]) is given as 9.5 meters.
2. Plug the radius into the formula: Substitute 9.5 for [tex]\( r \)[/tex] in the circumference formula.
[tex]\[
C = 2 \times \pi \times 9.5
\][/tex]
3. Calculate the value inside the formula:
[tex]\[
C = 2 \times 3.14159 \times 9.5
\][/tex]
4. Multiply the numbers:
[tex]\[
C \approx 2 \times 3.14159 \times 9.5
\][/tex]
[tex]\[
C \approx 2 \times 29.845505
\][/tex]
[tex]\[
C \approx 59.69101
\][/tex]
5. Round the result to the nearest tenth:
[tex]\[
59.69101 \approx 59.7
\][/tex]
So, the circumference of the circle, rounded to the nearest tenth, is approximately 59.7 meters.
