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 you can use the ~ symbol to upload a picture of your work.
First, we need to find the radius of Circle F since we are given the diameter. The formula for the diameter of a circle is D = 2r, where D is the diameter and r is the radius.
Given that the diameter of Circle F is 16 inches, we can plug that into the formula:
16 = 2r
r = 8 inches
Next, we need to find the radius of Circle E since we are given the circumference. The formula for the circumference of a circle is C = 2πr, where C is the circumference, π is pi (approximately 3.14), and r is the radius.
Given that the circumference of Circle E is 26 inches, we can plug that into the formula:
26 = 2πr
26 = 2 * 3.14 * r
26 = 6.28r
r ≈ 4.14 inches
Now that we have the radius of both circles, we can find the distance between their centers by subtracting the radii. The distance between the centers of two circles is the sum of their radii.
Distance between Circle E and Circle F = 8 inches + 4.14 inches
Distance between Circle E and Circle F = 12.14 inches
Therefore, the distance between Circle E and Circle F is 12.14 inches.