To find the circumference of a circle given the radius, you can use the formula:
[tex]\[ C = 2 \pi r \][/tex]
where:
- [tex]\( C \)[/tex] is the circumference
- [tex]\( \pi \)[/tex] (pi) is a mathematical constant approximately equal to 3.14
- [tex]\( r \)[/tex] is the radius of the circle
Given:
- The radius [tex]\( r \)[/tex] of the circle is 4 miles
- Use [tex]\( \pi \approx 3.14 \)[/tex]
Let's follow the steps to calculate the circumference:
1. Substitute the given radius and the value of [tex]\( \pi \)[/tex] into the formula:
[tex]\[ C = 2 \pi r \][/tex]
[tex]\[ C = 2 \times 3.14 \times 4 \][/tex]
2. Perform the multiplication inside the formula:
[tex]\[ 2 \times 3.14 = 6.28 \][/tex]
[tex]\[ 6.28 \times 4 = 25.12 \][/tex]
Thus, the unrounded circumference is [tex]\( 25.12 \)[/tex] miles.
3. Round the answer to the nearest hundredth:
Because [tex]\( 25.12 \)[/tex] is already rounded to the hundredth place, there is no further rounding needed.
Therefore, the circumference of the circle is:
[tex]\[ 25.12 \text{ miles} \][/tex]
