7.2 Radian Measure.

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Presentation transcript:

7.2 Radian Measure

Radian Units of measure for angles: revolution, degree, & radian Radian: a central angle has measure 1 radian if it intercepts an arc with length equal to the radius of the circle r r  = 1 radian  r

Converting  radians = 180 1 revolution = 360 = 2 radians (Circumf. of Circle = 2r)  radians = 180 radians → degrees, multiply by degrees→ radians, multiply by

Examples Leave radian measure in terms of  May omit word “radians”

Example 3 Change to decimal degrees Change to radians (round to 4 dec. places) Change to decimal degrees Change to radians

Pg. 390 Chart 90 60 120 135 45 30 150 180 0 360 330 210 225 315 240 300 270

#703 Pg. 393 1 – 31 odd & Memorize chart on Pg. 390 Homework #703 Pg. 393 1 – 31 odd & Memorize chart on Pg. 390