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Circular Circular measure measure Area of a Circle Definition of radians Click on a topic Area of a Sector Exit Exit Definition of
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Circular measure Area of a Circle Definition of radians Click on a topic Area of a Sector Exit Definition of

Dec 23, 2015

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Clinton Collins
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Page 1: Circular measure Area of a Circle Definition of radians Click on a topic Area of a Sector Exit Definition of

Circular measureCircular measure

Area of a Circle

Definition of radians

Click on a topic

Area of a Sector

ExitExit

Definition of

Page 2: Circular measure Area of a Circle Definition of radians Click on a topic Area of a Sector Exit Definition of

Definition of

ExitExitbackbackPage 1Page 1

(Pi)

nextnext

Page 3: Circular measure Area of a Circle Definition of radians Click on a topic Area of a Sector Exit Definition of

ExitExitbackbackPage 1Page 1 nextnext

Take any size of circle.

Page 4: Circular measure Area of a Circle Definition of radians Click on a topic Area of a Sector Exit Definition of

d

C

ExitExitbackbackPage 1Page 1 nextnext

C is the Circumference, the distance around the outside.

d is the Diameter.

Take any size of circle.

Page 5: Circular measure Area of a Circle Definition of radians Click on a topic Area of a Sector Exit Definition of

d

C

ExitExitbackbackPage 1Page 1 nextnext

C is the Circumference, the distance around the outside.

d is the Diameter.

Take any size of circle.

Page 6: Circular measure Area of a Circle Definition of radians Click on a topic Area of a Sector Exit Definition of

d

C

ExitExitbackbackPage 1Page 1 nextnext

C is the Circumference, the distance around the outside.

d is the Diameter.

Take any size of circle.

Page 7: Circular measure Area of a Circle Definition of radians Click on a topic Area of a Sector Exit Definition of

C

d

ExitExitbackbackPage 1Page 1 nextnext

C is the Circumference, the distance around the outside.

d is the Diameter.

Take any size of circle.

Page 8: Circular measure Area of a Circle Definition of radians Click on a topic Area of a Sector Exit Definition of

C

d

ExitExitbackbackPage 1Page 1 nextnext

C is the Circumference, the distance around the outside.

d is the Diameter.

Take any size of circle.

Page 9: Circular measure Area of a Circle Definition of radians Click on a topic Area of a Sector Exit Definition of

C

d

ExitExitbackbackPage 1Page 1 nextnext

C is the Circumference, the distance around the outside.

d is the Diameter.

Take any size of circle.

Page 10: Circular measure Area of a Circle Definition of radians Click on a topic Area of a Sector Exit Definition of

C

d

is about 3 times

ExitExitbackbackPage 1Page 1 nextnext

C is the Circumference, the distance around the outside.

d is the Diameter.

Take any size of circle.

dC

Page 11: Circular measure Area of a Circle Definition of radians Click on a topic Area of a Sector Exit Definition of

C

d

ExitExitbackbackPage 1Page 1 nextnext

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

Page 12: Circular measure Area of a Circle Definition of radians Click on a topic Area of a Sector Exit Definition of

C

d

ExitExitbackbackPage 1Page 1 nextnext

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 Area of a Circle Definition of radians Click on a topic Area of a Sector Exit Definition of

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 Area of a Circle Definition of radians Click on a topic Area of a Sector Exit Definition of

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

Page 15: Circular measure Area of a Circle Definition of radians Click on a topic Area of a Sector Exit Definition of

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

Page 16: Circular measure Area of a Circle Definition of radians Click on a topic Area of a Sector Exit Definition of

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

Page 17: Circular measure Area of a Circle Definition of radians Click on a topic Area of a Sector Exit Definition of

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

Page 18: Circular measure Area of a Circle Definition of radians Click on a topic Area of a Sector Exit Definition of

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

Page 19: Circular measure Area of a Circle Definition of radians Click on a topic Area of a Sector Exit Definition of

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 Area of a Circle Definition of radians Click on a topic Area of a Sector Exit Definition of

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 Area of a Circle Definition of radians Click on a topic Area of a Sector Exit Definition of

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 Area of a Circle Definition of radians Click on a topic Area of a Sector Exit Definition of

Area of a circle

ExitExitbackbackPage 1Page 1

Show dimensionsShow dimensions

Page 23: Circular measure Area of a Circle Definition of radians Click on a topic Area of a Sector Exit Definition of

Area of a circle

Cut into sectorsCut into sectors

r

ExitExitbackback

C =2 r

Page 1Page 1

Page 24: Circular measure Area of a Circle Definition of radians Click on a topic Area of a Sector Exit Definition of

Area of a circle

ExitExitbackback

C =2 r

r

Page 1Page 1

Open outOpen out

Page 25: Circular measure Area of a Circle Definition of radians Click on a topic Area of a Sector Exit Definition of

C 2

r

= r

Area of a circleC =2 r

C 2

= r

ExitExitbackbackPage 1Page 1

Push togetherPush together

Page 26: Circular measure Area of a Circle Definition of radians Click on a topic Area of a Sector Exit Definition of

Area of a circleC =2 r

ExitExitbackbackPage 1Page 1

Area of rectangleArea of rectangle

r

r

Page 27: Circular measure Area of a Circle Definition of radians Click on a topic Area of a Sector Exit Definition of

r

r

Area = r2

Area of a circleC =2 r

ExitExitbackbackPage 1Page 1

Page 28: Circular measure Area of a Circle Definition of radians Click on a topic Area of a Sector Exit Definition of

Area of a sector

ExitExitbackbackPage 1Page 1

Show dimensionsShow dimensions

Page 29: Circular measure Area of a Circle Definition of radians Click on a topic Area of a Sector Exit Definition of

Cut into small sectorsCut into small sectors

ExitExitbackbackPage 1Page 1

Area of a sector

S = rr

Page 30: Circular measure Area of a Circle Definition of radians Click on a topic Area of a Sector Exit Definition of

ExitExitbackbackPage 1Page 1

Open outOpen out

Area of a sector

S = rr

Page 31: Circular measure Area of a Circle Definition of radians Click on a topic Area of a Sector Exit Definition of

ExitExitbackbackPage 1Page 1

Open outOpen out

Area of a sector

r2

r2

r

Page 32: Circular measure Area of a Circle Definition of radians Click on a topic Area of a Sector Exit Definition of

r

ExitExitbackbackPage 1Page 1

Push togetherPush together

Area of a sector

r2

r2

Page 33: Circular measure Area of a Circle Definition of radians Click on a topic Area of a Sector Exit Definition of

r

ExitExitbackbackPage 1Page 1

Area of a sector

r2

Area of rectangleArea of rectangle

Page 34: Circular measure Area of a Circle Definition of radians Click on a topic Area of a Sector Exit Definition of

Area = ½ r2

ExitExitbackbackPage 1Page 1

Area of a sector

r

r2