Algebra 2 CH 9.2 Define General Angles and Use Radian Measure
Algebra 2 CH 9.2 Define General Angles and Use Radian Measure Day 2.notebook August 30, 2013
Define General Angles and Use Radian Measure 9.2 Define General Angles and Use Radiant Measure •
initial side
•
terminal side
•
standard position
•
coterminal
•
radian o
Define General Angles and Use Radian Measure A sector is a region of a circle that is bounded by two radii and the arc of a circle. Sector
converting from radians to degrees and degrees to radians
•
sector
•
central angle
Define General Angles and Use Radian Measure
Define General Angles and Use Radian Measure
The central angle θ of a sector is formed by the two radii. s = Arc Length
θ
Define General Angles and Use Radian Measure
Define General Angles and Use Radian Measure
Arc Length: s=rθ Area of a Sector: A=½r 2 θ
r=3
Pull
What is the area of the sector?
θ=½π
θ is measured in radians
1
Algebra 2 CH 9.2 Define General Angles and Use Radian Measure Day 2.notebook August 30, 2013
Define General Angles and Use Radian Measure What is the area of the sector?
What is the area of the sector?
Pull
r=5
Pull
r=5
Define General Angles and Use Radian Measure
First you must convert the degrees to radians.
θ=210o
θ=210o
Define General Angles and Use Radian Measure What is the arc length?
What is the arc length?
Pull
r=4
Pull
r=4
Define General Angles and Use Radian Measure
First you must convert the degrees to radians.
θ=60o
Define General Angles and Use Radian Measure
Pull
A Little League field has outfield fences that are 200 feet from home plate down the right field and left field lines. What is the area of the field and how long is the outfield fence?
θ=60o
Define General Angles and Use Radian Measure 9.2 Define General Angles and Use Radiant Measure •
initial side
•
terminal side
•
standard position
•
coterminal
•
radian
•
sector
•
central angle
o
converting from radians to degrees and degrees to radians
2
Define General Angles and Use Radian Measure 9.2 Define General Angles and Use Radiant Measure •
initial side
•
terminal side
•
standard position
•
coterminal
•
radian o
Define General Angles and Use Radian Measure A sector is a region of a circle that is bounded by two radii and the arc of a circle. Sector
converting from radians to degrees and degrees to radians
•
sector
•
central angle
Define General Angles and Use Radian Measure
Define General Angles and Use Radian Measure
The central angle θ of a sector is formed by the two radii. s = Arc Length
θ
Define General Angles and Use Radian Measure
Define General Angles and Use Radian Measure
Arc Length: s=rθ Area of a Sector: A=½r 2 θ
r=3
Pull
What is the area of the sector?
θ=½π
θ is measured in radians
1
Algebra 2 CH 9.2 Define General Angles and Use Radian Measure Day 2.notebook August 30, 2013
Define General Angles and Use Radian Measure What is the area of the sector?
What is the area of the sector?
Pull
r=5
Pull
r=5
Define General Angles and Use Radian Measure
First you must convert the degrees to radians.
θ=210o
θ=210o
Define General Angles and Use Radian Measure What is the arc length?
What is the arc length?
Pull
r=4
Pull
r=4
Define General Angles and Use Radian Measure
First you must convert the degrees to radians.
θ=60o
Define General Angles and Use Radian Measure
Pull
A Little League field has outfield fences that are 200 feet from home plate down the right field and left field lines. What is the area of the field and how long is the outfield fence?
θ=60o
Define General Angles and Use Radian Measure 9.2 Define General Angles and Use Radiant Measure •
initial side
•
terminal side
•
standard position
•
coterminal
•
radian
•
sector
•
central angle
o
converting from radians to degrees and degrees to radians
2
