Which point on the number line corresponds to the position of $7\pi$ radians?

• A. The point at $7$ units to the left of the origin
• B. The point at $2\pi$ units to the left of the origin
• C. The point at $7\pi$ units to the right of the origin
• D. The point at $3.5$ units to the right of the origin

Answer: (C)

Verified step by step guidance

1. Understand that the problem is asking for the position on the number line corresponding to an angle measured in radians, specifically at 7π radians.
2. Recall that on the number line, positive radian measures correspond to points to the right of the origin (0), and negative radian measures correspond to points to the left of the origin.
3. Since 7π is a positive multiple of π, the point corresponding to 7π radians lies to the right of the origin.
4. Recognize that the position on the number line is simply the numerical value of the radian measure, so the point is located at 7π units to the right of zero.
5. Therefore, the correct description of the point is 'The point at 7π units to the right of the origin.'