Degree Measure 90 = /2 45 135 0 180 = 360 = 2 315 225 270 = 3 - - PowerPoint PPT Presentation

Degree Measure

0° 45° 90° = /2 135° 180° =  225° 270° = 3/2 315° 360° = 2

180 180 So,  radians = 180 degrees  180 Degrees = Radians   180  Radians = Degrees

“If given degrees, multiply by /180 to get radians.” “If given radians, multiply by 180/ to get degrees.”

Ex 6: Write each in radian measure as a multiple of .

• A. 30°
• B. 150°
• C. - 20°

 180 Degrees = Radians

30 180     6 rad 150 180  

6 5 6

 5 6  rad   20 180 

• 1

9

   9 rad

Ex 7: Convert each measure from degrees to radians. Round to three decimal places.

• A. 115 °
• B. -216.35°
• C. 532°

2.007 rad

• 3.776 rad

9.285 rad

Ex 8: Write each in degree measure.

• A. 3/2
• B. 7/6
• C. -7/12

3 2 180   

180  Radians = Degrees

90

= 270°

7 6 180   

30

= 210°

  7 12 180  

15

= -105°

• A. /7
• B. 15/8

Ex 9: Convert each measure from radians to

• degrees. Round to three decimal places.
• C. - 4.2

Homework: p.139 #26-48 even

  7 180   180 7

 25 714 .



15 8 180      15 180 8

 337 5 .   756