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7.2 Radian Measure

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. 1 revolution = 360  = 2  radians.

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7.2 Radian Measure

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  1. 7.2 Radian Measure

  2. 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

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

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

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

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

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

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