A circular spinner is separated into 10 equal parts, each labeled with one of the following letters: upper A, upper B, upper C, upper D, upper E, f, g, h, i, and j.

Question

Question
Use the diagram to answer the question.
What is the measure of a counterclockwise rotation about the spinner center that maps label i to label f?
(1 point)

Answer 1

Given that the circular spinner is divided into 10 equal parts, each part represents a central angle of 360 degrees divided by 10, which gives us:

360 degrees / 10 = 36 degrees per section

To determine the measure of a counterclockwise rotation that maps label i to label f, first we need to know the positions of the labels i and f relative to each other. Let's say we number the positions starting from A, going counterclockwise:

A (0)
B (1)
C (2)
D (3)
E (4)
f (5)
g (6)
h (7)
i (8)
j (9)

With i at position 8 and f at position 5, we need to rotate counterclockwise from i to f. If we move counterclockwise from i to f, we actually move from position 8 to position 5 by going "backward". In terms of movement, it is like moving from position 8 to position 7, then 6, and finally 5, which means we move three sections counterclockwise.

Thus, the rotation in degrees counterclockwise from i to f is 3 sections times 36 degrees per section:

3 sections * 36 degrees/section = 108 degrees

So, a counterclockwise rotation about the spinner center that maps label i to label f is 108 degrees.