Central angle: A=5pi/6 radians
Fraction of the circumference: f=?
Central angle of a complete circumference: C=2pi radians
f=A/C
f=(5pi/6 radians)/(2pi radians)
f=(5pi/6)*[1/(2pi)]
f=(5pi*1)/(6*2pi)
f=(5pi)/(12pi)
f=5/12
Answer: 5/12 of the circumference
