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Polar Coordinates

Polar Coordinates. Common Coordinate Systems There are two common coordinate systems: Cartesian Rectangular Coordinate SystemPolar Coordinate System

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Page 1: Polar Coordinates. Common Coordinate Systems There are two common coordinate systems: Cartesian Rectangular Coordinate SystemPolar Coordinate System

Polar Coordinates

Page 2: Polar Coordinates. Common Coordinate Systems There are two common coordinate systems: Cartesian Rectangular Coordinate SystemPolar Coordinate System

Common Coordinate Systems

There are two common coordinate systems:

Cartesian Rectangular Coordinate System Polar Coordinate System

Page 3: Polar Coordinates. Common Coordinate Systems There are two common coordinate systems: Cartesian Rectangular Coordinate SystemPolar Coordinate System

Polar axis

Understanding Polar Coordinates 

0o

30o

60o90o

120o

150o

180o

210o

240o

270o 300o

330o

1radius

vector=12

radius vector=2

radius vector=3

3

radius vector=4

4

radius vector=5

5

radius vector=6

6

Polar angle=30o

Polar angle=60o

Polar angle=90o

Polar angle=120o

Polar angle=150o

Polar angle=180oPolar

angle=210o

Polar angle=240o

Polar angle=270o

Polar

angle=300o

Polar

angle=330o

·0

Page 4: Polar Coordinates. Common Coordinate Systems There are two common coordinate systems: Cartesian Rectangular Coordinate SystemPolar Coordinate System

0o

30o

60o90o

120o

150o

180o

210o

240o

270o 300o

330o

1 2 3 4 5 6

(3, )30o

30o

0

Page 5: Polar Coordinates. Common Coordinate Systems There are two common coordinate systems: Cartesian Rectangular Coordinate SystemPolar Coordinate System

0o

30o

60o90o

120o

150o

180o

210o

240o

270o 300o

330o

1 2 3 4 5 6

(5, )

150o150o

0

Page 6: Polar Coordinates. Common Coordinate Systems There are two common coordinate systems: Cartesian Rectangular Coordinate SystemPolar Coordinate System

0o

30o

60o90o

120o

150o

180o

210o

240o

270o 300o

330o

1 2 3 4 5 6(6, )

180o

180o 0

Page 7: Polar Coordinates. Common Coordinate Systems There are two common coordinate systems: Cartesian Rectangular Coordinate SystemPolar Coordinate System

0o

30o

60o90o

120o

150o

180o

210o

240o

270o 300o

330o

1 2 3 4 5 6

(2, )

240o

240o

0

Page 8: Polar Coordinates. Common Coordinate Systems There are two common coordinate systems: Cartesian Rectangular Coordinate SystemPolar Coordinate System

0o

30o

60o90o

120o

150o

180o

210o

240o

270o 300o

330o

1 2 3 4 5 6

(4, )

330o

330o

0

(4, )

150o(6, )

150o

150o150o

The End

Page 9: Polar Coordinates. Common Coordinate Systems There are two common coordinate systems: Cartesian Rectangular Coordinate SystemPolar Coordinate System

The End