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For the given central angle, determine the distance traveled along the unit circle from the point (1, 0).

180 degrees

A. 1.57 units
B. 3.14 units
C. 3.14 units clockwise
D. 1.57 units clockwise

Please select the best answer from the choices provided.

Answer :

The best answer for the distance traveled along the unit circle from the point (1, 0) for a central angle of 180 degrees is option c, 3.14 units clockwise.

A central angle of 180 degrees corresponds to a half-circle on the unit circle. Starting from the point (1, 0) on the positive x-axis, moving 180 degrees clockwise will take us to the point (-1, 0) on the negative x-axis. The distance traveled along the unit circle is the length of this half-circle, which is half of the circumference of the unit circle.

The circumference of the unit circle is given by 2π, and half of it is π. Therefore, the distance traveled is π or approximately 3.14 units clockwise.

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