Definitions
Degrees to Radians / Radians to Degrees
NOT A SECTION
Trigonometric Functions
Arc Lengths, Perimeters, and Circular Motion
100
This is defined as a unit measurement based on arc length; the measure of the angle formed when the radius is equal to the length of the intercepted arc.
What are Radians or what is a radian?
100
Convert 240 degrees to radians.
(4pi)/3
100
5/3
100
Find the length of the intercepted arc when the angle measure is 8pie/3 and the radius is 7 inches.
58.6 inches
200
The difference between two points on a curved section.
What is Arc Length?
200
Convert -80 degrees to radians.
(-4pi)/9
200
square root of five
200
Find the length of the intercepted arc when the angle measure is 13pie/4 and the radius is 2 meters.
20.4 meters
300
Cosecant, Secant and Cotangent are all what.
What is a reciprocal function?
300
Convert (15pi)/9 radians to degrees.
300 degrees
300
3/4
300
Find the length of the intercepted arc when the angle measure is 290 degrees and the radius is 15 centimeters.
75.9 centimeters
400
In the formula w=central angle (or theta)/time, what does w stand for?
What is angular speed?
400
Convert (-10pi)/5 radians to degrees.
-360 degres
400
quadrants=2 and 3
angles=150 degrees and 210 degrees
400
A fan with a diameter of 13 inches rotates at 700rpm. What is the angular speed of the fan in radians per second?
73.3 radians per second
500
Arc length/time, s/t, r*w, (theta*r) are all equal to v, which stands for?
What is linear speed?
500
Give the positive and negative coterminal angle for 927 degrees. (must be under 360 degrees)
-153 degrees and 207 degrees
500
quadrants= 1 and 3
angles= 60 degrees and 240 degrees
500
The front right tire on a toyota has a radius of 10 inches long. If the tire is rotating at 30 revolutions per seconds, find the linear speed of the tire in mph.
107.1 mph