High School

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

Angle: 180 degrees

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

Answer :

Final answer:

For a central angle of 180 degrees, the distance traveled along the unit circle from the point (1, 0) is 3.14 units.

Explanation:

To determine the distance traveled along the unit circle from the point (1, 0) for a given central angle, we need to consider the concept of arc length. The arc length for one complete revolution is equal to the circumference of a circle with radius r, which is 2πr. Since the radius of the unit circle is 1, the arc length for one complete revolution is 2π units. Therefore, for half a revolution (180 degrees), the distance traveled along the unit circle is half of the arc length, which is 1π or 3.14 units.

Answer: b. 3.14 units

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