The arc length of an angle in a circle can be found using the formula:
Arc Length = r × θ
Where:
- r is the radius of the circle
- θ is the angle in radians
Since we are talking about the unit circle, the radius (r) is 1. Therefore, the formula simplifies to:
Arc Length = 1 × θ = θ
In this case, the angle θ is π/3 radians. So the arc length is:
Arc Length = π/3
Thus, the arc length of an angle of π/3 radians formed on the unit circle is π/3 units.