Answer:
StartFraction pi Over 3 EndFraction
Step-by-step explanation:
we know that
The circumference of a circle subtends a central angle of 360 degrees or 2π radians
so
by proportion
Find out the central angle for an arc equal to One-sixth of the circumference of a circle
Let
x -----> the measure of the central angle in radians for an arc equal to One-sixth of the circumference
Simplify
therefore
StartFraction pi Over 3 EndFraction
4 because 1/8 goes into 1/2 4 times. 1/2 divided by 1/8 equals 4. 1/8 times 4 equals 1/2.