What's a radian?
Converting Radians and Degrees
Complement and Supplement
Standard Position
Reference and Coterminal Angles
100
A circle has radius 2. How many radians are in this circle?
Every circle has
2pi
radians
100
Convert
(7pi)/5
radians into degrees
252 degrees
100
Find the complement of 42.5 degrees
47.5 degrees
100
Estimate the value of this angle (in degrees)
125-145 degrees
100
What is the reference angle of 100 degrees?
70 degrees
200
Draw a detailed diagram that shows how a radian is defined.
200
Convert
(3pi)/5
radians into degrees
108 degrees
200
Find the supplements of 99.32 degrees.
80.68 degrees.
200
Estimate the measure of this angle (in degrees)
40-60 degrees
200
Find a negative Coterminal angle of 500 degrees.
-220
-580
etc.
300
In words, what is a radian?
The central angle made by taking the radius of a circle, wrapping it around the circle, and connecting both endpoints to the center of the circle.
300
Covert 20 degrees into radians.
pi/9
300
Find the complement of
pi/3
pi/6
300
Estimate the angle of 280 degrees from standard position.
.
300
Are -100 degrees and 2420 degrees Coterminal angles?
Yes. If you add 360 enough times to -100, you obtain 2420.
400
How many radians do you travel when you start at standard position, rotate counterclockwise, and stop halfway around the circumference of the circle?
pi
Radians
400
Convert 264 degrees into radians
(22pi)/15
400
Find the supplement of
(4pi)/13
(9pi)/13
400
Estimate the angle of -280 degrees from standard position.
.
400
Are 340 degrees and -1500 degrees Coterminal angles?
No. If you subtract 360 from 340 enough times, you will go below -1500 but never obtain -1500 exactly, so the angles cannot be Coterminal.
500
How many radians do you travel when you start at standard position, rotate clockwise, and stop halfway around the circumference of the circle?
-pi
Radians
500
(-31pi)/12
Radians are how many degrees?
-465 degrees
500
Find the complement AND supplement.
(5pi)/4
Complement:
(-3pi)/4
Supplement:
(-pi)/4
500
Estimate the measure of this angle (in degrees).
380-410 degrees
500
Find the Coterminal angle for 600 that is between 0 and 360. Then, find the reference angle. Finally, draw both the Coterminal and reference angle on the coordinate plane.
Coterminal: 240
Reference: 60
