06.1 Angles and Radians 3p Class Notes.notebook
November 12, 2013
Unit 6, Trigonometry
6.1 Angle and Radian Measure
NCSCOS 2.02, Use trigonometric functions to model
and solve problems."
WIMD: What I must do:
• I will convert between radians and degrees.
• I will find the length of an arc from a central angle.
• I will find the area of a sector.
Key Words:
radian degree central angle
sector arc
I will find the length of an arc from a central angle.
notes
Definition of a radian
s=r
θ
theta is in radians
s
06.1 Angles and Radians 3p Class Notes.notebook
November 12, 2013
I will convert between radians and degrees.
for a full circle of 360
o
...
s
s s/r θ
1
Answer?
Practice...
Given a central angle of 125 o , find the length of its arc in a circle of radius 7cm .
....round to the nearest hundredth
Hint: s = rθ; theta is in
radians
06.1 Angles and Radians 3p Class Notes.notebook
2
Answer?
....round to the nearest hundredth
Practice today...
06.1 Trig Circle Summary.doc
Quiz tomorrow:
no calculator. no notes.
November 12, 2013
06.1 Angles and Radians 3p Class Notes.notebook
November 12, 2013
06.1 Angles and Radians 3p Class Notes.notebook
November 12, 2013
Practice:
Change 115 o to radians.
3
4
Answer?
Answer?
Change ­7 π/8 radians to degrees.
06.1 Angles and Radians 3p Class Notes.notebook
5
Answer?
Evaluate tan( π/4 )
6
Answer?
Evaluate tan(25 π/6 )
?
November 12, 2013
06.1 Angles and Radians 3p Class Notes.notebook
November 12, 2013
Let A = the area of sector ROS notes
I will find the area of a sector.
7
Answer?
Practice...
Find the area of sector if the central angle measures 3 π/7 radians and the radius is 11 cm. ... round to the nearest tenth.
06.1 Angles and Radians 3p Class Notes.notebook
November 12, 2013
Access Code: E7BE47BB9B
Glencoe Quizzes
Homework
p349 #49­61
06.1 Angles and Radians 3p Class Notes.notebook
November 12, 2013
06.1 Angles and Radians 3p Class Notes.notebook
November 12, 2013
Attachments
Prentice Hall Algebra On lIne Resources
06.1 Trig Circle Summary.doc