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Lesson 6.1- Angle Measure. Warm-Ups are 6.2:. Classwork: Book : pg.487; 61-65 all. a. 89.06. b. 238,900 mi. 6155.78 mi. ANSWERS. PRE. Lesson 6.1 Angle Measure. Objectives: To understand the difference between radian measure and degree measure. To convert between radians and degrees. - PowerPoint PPT Presentation
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ANSWERS
a. 89.06
Warm
-Up
s are 6.2:
6155.78 mi
b. 238,900 mi
Cla
sswork: B
ook
: pg
.48
7; 6
1-6
5 a
ll
s r
PREPRELesson 6.1 Angle Measure
Objectives:•To understand the difference between radian measure and degree measure.•To convert between radians and degrees.•To understand co-terminal angles and how to find them.•To understand arc lengths and area of sectors.
STANDARD POSITION
An angle is in standard
position if it is
drawn with its vertex at
the origin and
its initial side on the
positive x-axis.
RELATIONSHIP BETWEEN DEGREES AND RADIANS
To convert degrees to radians,
multiply by
To convert radians to degrees,
multiply by
180 radians 1801 radian
1180
radians
180
180
1) 30
3) 120
2)3
54)6
180
6
180
60
180
2
3
180
150
5) 210
7) 300
46)
3
118)6
180
7
6
180
240
180
5
3
180
330
Ex 3. Find one positive and one negative angle that is coterminal with the angle = in standard position.
3
390 , 330
420 , 300