To find the circumference of a circle when provided with its diameter, you can use the following formula:
[tex]\[ C = \pi \times d \][/tex]
where [tex]\( C \)[/tex] represents the circumference and [tex]\( d \)[/tex] is the diameter.
Given:
- Diameter ([tex]\( d \)[/tex]) = 18 inches
Step-by-step solution:
1. Identify the formula for circumference:
[tex]\[ C = \pi \times d \][/tex]
2. Substitute the given diameter into the formula:
[tex]\[ C = \pi \times 18 \][/tex]
3. Use the value of [tex]\( \pi \approx 3.14159 \)[/tex]:
[tex]\[ C \approx 3.14159 \times 18 \][/tex]
4. Perform the multiplication:
[tex]\[ C \approx 3.14159 \times 18 = 56.5487 \][/tex]
5. Round the result to the nearest tenth:
- To round 56.5487 to the nearest tenth, look at the second digit after the decimal point, which is '4'.
- Since '4' is less than '5', you round down, keeping the first digit after the decimal point as it is.
Therefore, [tex]\( 56.5487 \)[/tex] rounded to the nearest tenth is [tex]\( 56.5 \)[/tex].
Thus, the circumference of the circle to the nearest tenth of an inch is:
[tex]\[ \boxed{56.5} \][/tex]
