Final answer:
The arc length intercepted on the unit circle by a central angle of 5π is 5π. This is derived from the formula for arc length where radius is multiplied by the angle in radians, and in this case the radius is 1 for a unit circle.
Step-by-step explanation:
The question asks to find the length of the arc intercepted on the unit circle by a central angle θ = 5π. To solve this, we apply the basic formula for arc length on a circle, which is the product of the radius and the central angle measured in radians.
Since we have a unit circle, the radius (r) is 1. Any arc length on the unit circle is directly proportional to the central angle. Here, the central angle is θ = 5π, so the arc length is also 5π, because Arc Length = r x θ = 1 x 5π.
The correct answer is a) 5π.