If an angle in standard position has its initial side along the positive x-axis and its terminal side passes through point D on the unit circle such that the intercepted arc AD measures $96°$, what is the measure of arc AD?

• A. $12°$
• B. $96°$
• C. $116°$
• D. $58°$

Answer: (B)

Verified step by step guidance

1. Understand that the problem describes an angle in standard position, meaning its initial side lies along the positive x-axis, and its terminal side passes through a point D on the unit circle.
2. Recall that the measure of the intercepted arc on the unit circle corresponds directly to the measure of the central angle in degrees when the radius is 1 (unit circle).
3. Given that the intercepted arc AD measures 96°, this means the central angle formed by the initial side and terminal side is also 96°.
4. Recognize that the measure of the arc intercepted by the angle is the same as the angle's measure in degrees on the unit circle.
5. Therefore, the measure of arc AD is 96°, matching the given intercepted arc measure.