“thecircumference of a circle equals 2*pi*r, so
the circumference of the circle with radius 5 is
2*5*pi = 10pi
the ratio of the arc intercept to the circumference is equal to the ratio of the central angle of the intercept to 360 degrees (or 2*pi in radian units)
in our case
2/10*pi = x/2*pi, where x is the measure of the central angle
cross multiply and we get
4*pi = 10*pi*x
x = 0.4 radians which equals 22.92 degrees”
