NAME:_____________________________________________
Topics in Pre-Calc II – Radian and Degree Measures CLASSWORK
DATE:_________
PERIOD:_______
DO NOW: Answer the following questions in order to prepare for today’s lesson.
1. What is the total measure of the degrees in the circumference of a circle?
2. What is the formula to find the circumference of a circle?
3. What does
represent in decimal form?
4. What is the measure of a radius in the unit circle?
LEARNING GOAL: How Do We Convert Between Radian and Degree Measure?

What is a radian? – a radian is the measure of an angle that, when drawn
as a central angle of a circle, intercepts an arch whose length is equal to
the length of a radius of the circle.

What is the relationship between radian and degree measure?

How do we convert between radian and degree measure?
Examples: Convert the following to radian measure.
Examples: Convert the following to degree measure.

Is there a more efficient way to convert to degree measure when
is visible?
1. Find, to the nearest minute, the angle whose measure is 3.45 radians.
2. What is the radian measure, in terms of , of the angle formed by the hands of a clock at 4:00 p.m.?
3. The terminal side of an angle in standard position rotates one-sixth of a revolution clockwise from the positive
x-axis. Find the measure of the angle in both degree and radian measures.
4. Sketch and label and its reference angle in standard position if
Find the radian value of the reference angle, , in terms of .
. Label the reference angle with .
Looking Ahead…..
Find the exact value of csc( 
8
)
3