Final answer:
One-fourth of the circumference of a circle with a circumference of 12 centimeters is 3 centimeters.
Step-by-step explanation:
To find one-fourth of the circumference of a circle, we can use the formula:
C = 2πr
Given that the circumference of the circle is 12 centimeters, we can calculate the radius as:
r = C / (2π)
r = 12 / (2π)
r = 6 / π
Now, we can find one-fourth of the circumference by multiplying the calculated radius by π / 2:
One-fourth of circumference = (6 / π) × (π / 2)
One-fourth of circumference = 3 centimeters