Question

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

570
a. 0.99 units
C. 57 units
b. 1.99 units
d. 0.50 units
Please select the best answer from the choices provided
оооо

Answer 1

0.99

Explanation:

Answer 2

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)