circular measure
DESCRIPTION
f4TRANSCRIPT
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Circular measureCircular measure
Area of a CircleDefinition of radians
Click on a topic
Area of a Sector
ExitExit
Definition of
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Definition of
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(Pi)
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Take any size of circle.
![Page 4: Circular Measure](https://reader036.vdocument.in/reader036/viewer/2022081505/5695cf9c1a28ab9b028eccfb/html5/thumbnails/4.jpg)
d
C
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C is the Circumference, the distance around the outside.
d is the Diameter.
Take any size of circle.
![Page 5: Circular Measure](https://reader036.vdocument.in/reader036/viewer/2022081505/5695cf9c1a28ab9b028eccfb/html5/thumbnails/5.jpg)
d
C
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C is the Circumference, the distance around the outside.
d is the Diameter.
Take any size of circle.
![Page 6: Circular Measure](https://reader036.vdocument.in/reader036/viewer/2022081505/5695cf9c1a28ab9b028eccfb/html5/thumbnails/6.jpg)
d
C
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C is the Circumference, the distance around the outside.
d is the Diameter.
Take any size of circle.
![Page 7: Circular Measure](https://reader036.vdocument.in/reader036/viewer/2022081505/5695cf9c1a28ab9b028eccfb/html5/thumbnails/7.jpg)
C
d
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C is the Circumference, the distance around the outside.
d is the Diameter.
Take any size of circle.
![Page 8: Circular Measure](https://reader036.vdocument.in/reader036/viewer/2022081505/5695cf9c1a28ab9b028eccfb/html5/thumbnails/8.jpg)
C
d
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C is the Circumference, the distance around the outside.
d is the Diameter.
Take any size of circle.
![Page 9: Circular Measure](https://reader036.vdocument.in/reader036/viewer/2022081505/5695cf9c1a28ab9b028eccfb/html5/thumbnails/9.jpg)
C
d
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C is the Circumference, the distance around the outside.
d is the Diameter.
Take any size of circle.
![Page 10: Circular Measure](https://reader036.vdocument.in/reader036/viewer/2022081505/5695cf9c1a28ab9b028eccfb/html5/thumbnails/10.jpg)
C
d
is about 3 times
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C is the Circumference, the distance around the outside.
d is the Diameter.
Take any size of circle.
dC
![Page 11: Circular Measure](https://reader036.vdocument.in/reader036/viewer/2022081505/5695cf9c1a28ab9b028eccfb/html5/thumbnails/11.jpg)
C
d
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This is true for any size of circle
C is the Circumference, the distance around the outside.
d is the Diameter.
Take any size of circle.
dC = 3.1415927 x
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C
d
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This number is called (pi)
This is true for any size of circle
C is the Circumference, the distance around the outside.
d is the Diameter.
Take any size of circle.
dC = x
dC = 3.1415927 x
![Page 13: Circular Measure](https://reader036.vdocument.in/reader036/viewer/2022081505/5695cf9c1a28ab9b028eccfb/html5/thumbnails/13.jpg)
C
d
dC = x
= 3.1415927
dC = 3.1415927 x
This number is called (pi)
This is true for any size of circle
C is the Circumference, the distance around the outside.
d is the Diameter.
Take any size of circle.
ExitExitbackbackPage 1Page 1 nextnext
![Page 14: Circular Measure](https://reader036.vdocument.in/reader036/viewer/2022081505/5695cf9c1a28ab9b028eccfb/html5/thumbnails/14.jpg)
Definition
ExitExit
S Sr
radians
r
11ccDefinitionDefinition 22cc
Page 1Page 1
33cc 44cc 55cc 66cc 1 revolution1 revolution
cc means circular measure i.e. radians means circular measure i.e. radians
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Definition
ExitExit
= 1radian
11ccDefinitionDefinition
S = r
Sr
radians
r
22cc
Page 1Page 1
33cc 44cc 55cc 66cc 1 revolution1 revolution
cc means circular measure i.e. radians means circular measure i.e. radians
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Definition
ExitExit
= 2 radians
11cc 22ccDefinitionDefinition
S = 2r
Sr
radians
r
Page 1Page 1
33cc 44cc 55cc 66cc 1 revolution1 revolution
cc means circular measure i.e. radians means circular measure i.e. radians
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Definition
ExitExit
= 3 radians
11cc 22cc 33ccDefinitionDefinition
S = 3r
Sr
radians
r
Page 1Page 1
44cc 55cc 66cc 1 revolution1 revolution
cc means circular measure i.e. radians means circular measure i.e. radians
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Definition
ExitExit
= 4 radians
11cc 22cc 33cc 44ccDefinitionDefinition
S = 4r
Sr
radians
r
Page 1Page 1
55cc 66cc 1 revolution1 revolution
cc means circular measure i.e. radians means circular measure i.e. radians
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Definition
ExitExit
= 5 radians
11cc 22cc 33cc 44cc 55ccDefinitionDefinition
S = 5r
Sr
radians
r
Page 1Page 1
66cc 1 revolution1 revolution
cc means circular measure i.e. radians means circular measure i.e. radians
![Page 20: Circular Measure](https://reader036.vdocument.in/reader036/viewer/2022081505/5695cf9c1a28ab9b028eccfb/html5/thumbnails/20.jpg)
Definition
ExitExit
= 6 radians
11cc 22cc 33cc 44cc 55cc 66ccDefinitionDefinition
S = 6r Sr
radians
r
Page 1Page 1
1 revolution1 revolution
cc means circular measure i.e. radians means circular measure i.e. radians
![Page 21: Circular Measure](https://reader036.vdocument.in/reader036/viewer/2022081505/5695cf9c1a28ab9b028eccfb/html5/thumbnails/21.jpg)
Definition
ExitExit
= 2 radians
11cc 22cc 33cc 44cc 55cc 66cc 1 revolution1 revolutionDefinitionDefinition
S = 2r
Sr
radians
r
Page 1Page 1
cc means circular measure i.e. radians means circular measure i.e. radians
![Page 22: Circular Measure](https://reader036.vdocument.in/reader036/viewer/2022081505/5695cf9c1a28ab9b028eccfb/html5/thumbnails/22.jpg)
Area of a circle
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Show dimensionsShow dimensions
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Area of a circle
Cut into sectorsCut into sectors
r
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C =2 r
Page 1Page 1
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Area of a circle
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C =2 r
r
Page 1Page 1
Open outOpen out
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C 2
r
= r
Area of a circleC =2 r
C 2
= r
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Push togetherPush together
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Area of a circleC =2 r
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Area of rectangleArea of rectangle
r
r
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r
r
Area = r2
Area of a circleC =2 r
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Area of a sector
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Show dimensionsShow dimensions
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Cut into small sectorsCut into small sectors
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Area of a sector
S = rr
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ExitExitbackbackPage 1Page 1
Open outOpen out
Area of a sector
S = rr
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ExitExitbackbackPage 1Page 1
Open outOpen out
Area of a sectorr2
r2
r
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r
ExitExitbackbackPage 1Page 1
Push togetherPush together
Area of a sectorr2
r2
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r
ExitExitbackbackPage 1Page 1
Area of a sector
r2
Area of rectangleArea of rectangle
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Area = ½ r2
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Area of a sector
r
r2