Circle F has a diameter of 16 inches. Circle E has a circumference of 26 inches and is inside of Circle F. What is the distance between circle E and Circle F? Show all work.
First, we need to find the radius of Circle F:
Radius of Circle F = Diameter / 2 = 16 / 2 = 8 inches
Next, we need to find the radius of Circle E based on its circumference:
Circumference of Circle E = 2 * π * radius
26 = 2 * π * radius
26 = 6.28 * radius
radius = 26 / 6.28 ≈ 4.14 inches
Now, we can find the distance between the two circles, which is the difference in their radii:
Distance = Radius of Circle F - Radius of Circle E
Distance = 8 - 4.14 = 3.86 inches
Therefore, the distance between Circle E and Circle F is 3.86 inches.