To measure the arc of a circle, you need to know the measure of the central angle that intercepts the arc. The formula to find the arc length (denoted as "s") of a circle, given the central angle (denoted as "θ") and the radius (denoted as "r"), is:
s = θ * r
In your case, you mentioned a 12-inch circle. Assuming you want to find the arc length for a specific central angle, let's say the central angle is 60 degrees (θ = 60°). The radius (r) of the circle is half of the diameter, so for a 12-inch circle, the radius would be 6 inches.
Now, plug the values into the formula to find the arc length (s):
s = 60° * 6 inches
s = 360 inches
So, the arc length of a 60-degree central angle in a 12-inch circle is 360 inches.