Circle F has a diameter of 16 inches. Circle E has a circumference of 26 inches. What is the distance between circle E and Circle F? Show all work.

First, we need to find the radius of Circle F since we are given the diameter.

Radius of Circle F = Diameter / 2 = 16 inches / 2 = 8 inches

Next, we need to find the radius of Circle E using the circumference formula: C = 2πr

26 inches = 2πr
r = 26 inches / (2π)
r ≈ 4.135 inches

Now, we can find the distance between the two circles, which is the sum of the radii of both circles.

Distance = Radius of Circle F + Radius of Circle E
Distance = 8 inches + 4.135 inches
Distance ≈ 12.135 inches

Therefore, the distance between Circle E and Circle F is approximately 12.135 inches.