What is the arc length of an angle of π/3 radians formed on the unit circle?

Solution: 

Given: Angle (θ) = π/3 radians

We know that the arc length formula in radians can be expressed as arc length = θ × r

Where θ = Central angle of Arc, r = Radius of the circle

r = 1 [ Unit circle]

Thus, 

Substituting the values of r and θ in the formula,

Arc length = θ × r

Arc length = π/3 × 1

= π/3

Hence, the arc length of an angle of π/3 radians formed on the unit circle is π/3.

What is the arc length of an angle of π/3 radians formed on the unit circle?

Summary:

The arc length of an angle of π/3 radians formed on the unit circle is π/3.