Determine the length of the arc (in radian measure) and themeasure of the angle (in radian and degree measures) generated by apoint that starts from (1,0) and terminates at the following:

1. Positive x-axis
2. Negative x-axis
3. Positive y-axis
4. Negative y-axis

Hint: Recall that the unit circle circumference is 2πunits. Thus, if the unit circle is to be divided inton congruent arcs, then the measure ofeach arc is equal to 2πn units. Writeyour answers on a sheet of paper.

Activity 2.2 Independent Practice

Observe the movement of the hands in your clock. We denote thatat 3:15 (AM/PM) you are in a 0 degree/radian measure. (Recallthat in a clockwise direction, you will have a negativeangle).

1. If you will continue to observe the movement of the clock, findthe distance in radians that the clock covers when it stops at eachof the following time:

1. 3:35
2. 3:50
3. 4:10
4. 4:25

2. What will be the time covered for the following distances?

1. – 60⁰
2. – 180⁰
3. – 300⁰

3. What will be the time be if the clock covered a distance of-4π3 radians? What is the measure of theangle formed in degree?