Question

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

Answer 1

Answer:

For a circle of radius R, the perimeter is:

P = 2*pi*R

Where pi = 3.14

If we have a section of this circle, defined by an angle θ, the length of that arc is calculated as:

L = (θ/360°)*2*pi*R

In this case, we have a unit circle, so the radius is 1 unit, and we have a section defined by an angle of 57°.

Then the total distance traveled will be equal to the length of the arc, which is:

L = (57°/360°)*2*3.14*(1 unit) = 0.99 units

Then the correct option is a.

(as we want to find the total distance, the starting point does not matter, so the total distance traveled in a section of 57° would be the same in any point of the circle, this means that the fact that we should start at the point (1,0) has no effect in this question)