Question

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

218 degrees
a.
1.21 units clockwise
c.
7.61 units
b.
3.80 units
d.
1.90 units

Answer 1

To determine the distance traveled along the unit circle from the point (1, 0), we can use the formula (angle * π/180) to find the arc length in units. For the given central angle of 218 degrees, the distance traveled along the unit circle is approximately 3.80 units.

Step-by-step explanation:

To determine the distance traveled along the unit circle from the point (1, 0) for a given central angle, we need to find the arc length on the unit circle.

One complete rotation of the unit circle corresponds to 360 degrees or 2π radians. So the distance traveled along the unit circle for 1 degree is π/180 units.

For the given central angle of 218 degrees, the distance traveled along the unit circle would be (218 * π/180) units.

Calculating this, the distance is approximately 3.80 units.

Answer 2

Step-by-step explanation:

radius of unit circle = 1

θ = 218° × π/180° = 109π/90 radians

arc length = rθ = 109π/90 ≅ 3.80 units