To find the radius of a circle when the circumference is given, you can use the formula for the circumference of a circle, which is:
[tex]\[ C = 2 \pi r \][/tex]
where \( C \) is the circumference and \( r \) is the radius.
Here, the given circumference \( C \) is \( 8 \pi \) centimeters.
1. Substitute the given circumference into the formula:
[tex]\[ 8 \pi = 2 \pi r \][/tex]
2. To isolate \( r \), divide both sides of the equation by \( 2 \pi \):
[tex]\[ \frac{8 \pi}{2 \pi} = r \][/tex]
3. Simplify the fraction on the left side:
[tex]\[ \frac{8 \pi}{2 \pi} = 4 \][/tex]
Therefore, the radius of the circle is:
[tex]\[ r = 4 \][/tex]
So, the radius of the circle is [tex]\( 4 \)[/tex] centimeters.
