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

Solution:

The arc length is defined as the interspace between the two points along a section of a curve.

  An arc of a circle is any part of the circumference.

The angle subtended by an arc at any point is the angle formed between the two line segments joining that point to the end-points of the arc.

Arc length is the measure of the distance along the curved line making up the arc.

To find arc length, we can use the formula,

Arc length = θ × r

Where, r = radius

θ = angle in degrees

Here r = 1 (unit circle) and θ = π/3

Arc length = (π/3) × 1 = π/3

Therefore, the arc length 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.