What is the Arc Length of an Angle of π/3 Radians Formed on the Unit Circle?
We will be using the formula of arc length to solve this.
Answer: The Arc Length of an Angle of π/3 Radians Formed on the Unit Circle is π/3.
Let's solve this step by step.
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]
Substituting the values of r and θ in the formula,
Arc length = θ × r
Arc length = π/3 × 1
Hence, the arc length of an angle of π/3 radians formed on the unit circle is π/3.