Download Radian and Degree Measure Notes

Pre-Calculus/Trig 3
Radian and Degree Measure
Name __________________________________
Trigonometry
Angle
Positive Angle
Angle in standard position
Negative Angle
Coterminal Angles
* to find coterminal angles always add or subtract ______ if in degrees or _____ if in radians
Measures of Angles
Angles are measure in either ________________ or ___________________
Conversions
360o is the same as ______ radians
Converting from degrees to radians…
1. 210o =
2. –315o =
2 radians is the same as ______ degrees
Converting from radians to degrees…
3.


6
4. 2.5 =
Applications
Arc Length
Examples:
1. Find the length of the arc of a circle whose radius is 5 cm and whose central angle is

.
3
2. Find the radius of a circle whose arc length is 20 inches and whose central angle is 120  .
Area of a Sector
Example:
1. Find the area of the sector in example one from above.
2. Find the area of the sector in example two from above.