Answer:
2pi/C = 45/360
Step-by-step explanation:
L = arc length
C = circumference
x = central angle
Tying those three variables together leads us to this
L = (x/360)*C
The idea is we effectively take a fraction of the circumference to end up with the arc length.
In the formula above, we can rearrange terms to get
L = (x/360)*C
360L = Cx
L/C = x/360
We know that L = 2pi and x = 45, which means we end up with
L/C = x/360
2pi/C = 45/360
