Answer: Divide the measure of the arc by 360
Explanation:
we can understand it with help of example.
Let there is a circle O in which An arc AC made a central angle 60°
Now the area in fraction = 60°/360°= 1/6
Because when we divide the circle in 6 parts then the area of each part = 1/6 of the area of the circle.
Therefore the central angle by this area is also 1/6 of the total central angle of the circle which is 360°
Thus, the angle made by this = 360°/6 = 60°