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