Chord Length in a Circle

Consider a circle with a radius of 8 units. Point A is located at the center of the circle, and point B is on the circumference. A line segment is drawn from point A to point B. Another line segment, line segment AC, is drawn from point A to point C, where point C is also on the circumference of the circle.

If the angle ∠CAB measures 60 degrees, what is the length of line segment BC?

Use the formula for the chord length, which can be expressed as:

Chord length = 2 * r * sin(θ/2)

where r is the radius of the circle and θ is the angle subtended at the center (in degrees).