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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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Presentation Transcript
radian
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
Converting

1 revolution = 360 = 2 radians

(Circumf. of Circle = 2r)

 radians = 180

radians → degrees, multiply by

degrees→ radians, multiply by

examples
Examples

Leave radian measure in terms of 

May omit word “radians”

example 3
Example 3

(round to 4 dec. places)

Change to decimal degrees

Change to radians

pg 390 chart
Pg. 390 Chart

90

60

120

45

135

30

150

180

360

0

330

210

225

315

240

300

270

homework
Homework

#703 Pg. 393 1 – 31 odd &

Memorize chart on Pg. 390

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