To find the circumference of a circle given its diameter, you can use the formula:
[tex]\[ C = \pi \times d \][/tex]
where [tex]\( C \)[/tex] is the circumference and [tex]\( d \)[/tex] is the diameter of the circle.
Given:
- The diameter [tex]\( d \)[/tex] is 38 miles.
- The value of [tex]\( \pi \)[/tex] is approximately 3.14.
First, substitute the given values into the formula:
[tex]\[ C = 3.14 \times 38 \][/tex]
Now, calculate the product:
[tex]\[ C = 119.32 \][/tex]
The circumference of the circle is 119.32000000000001 miles.
Next, round this value to the nearest hundredth (two decimal places). Since the value is already very close to being correct at two decimal places, rounding 119.32000000000001 to the nearest hundredth gives:
[tex]\[ C \approx 119.32 \][/tex]
So, the circle's circumference is:
[tex]\[ \boxed{119.32} \text{ miles} \][/tex]
