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# HP 30S Calculator - Converting Coordinates between Rectangular and Polar

Introduction
Entering an ordered pair on a two-dimensional graph (including imaginary numbers) can be done in one of two ways.
• Rectangular or Cartesian coordinates
• Polar or Cylindrical coordinates
The instructions below explain how to enter Ordered Pairs using both rectangular and polar notations. The instructions will demonstrate how to convert between the two notations.
##### note:
Decimal number format is set at Fixed 2 decimal placement.
Examples
##### note:
The word THETA represents the Theta symbol.
Example 1
Change (3,4) Rectangular coordinates to Polar with the Angle Measure in Degrees.
1. Press the 2nd key, then R<>P, R ->Pr is underlined, then press ENTER.
2. Type in 3 then press the 2nd key, press (,) comma key, type in 4, press ENTER. The display will show 5.00 this is the radius coordinate.
3. Press the 2 ndkey, R<>P key, arrow once to the right, underlining R->PTHETA, then press ENTER.
4. Type in 3 then press the 2nd key, press (,) comma key, type in 4, press ENTER. The display will show 36.87, this is the theta angle coordinate.
Example 2
Change (17, 61.93) Polar coordinates to Rectangular with the Angle Measure in Degrees.
1. Press the 2nd key, the R<> P, arrow twice to the right or until P ->Rx is underlined, then press ENTER.
2. Type in 17, press the 2nd key, press (,) comma key, type in 61.93, then press ENTER. The calculator will display 8.00. This is the x coordinate.
3. Press the 2nd key, the R<> P key, arrow once to the left or until P ->Ry is underlined, then press ENTER.
4. Type in 17, press the 2nd key, press (,) comma key, type in 61.93, then press ENTER. The calculator will display 15.00. This is the y coordinate.
##### note:
Any angle arguments are dependent on the current angle format, when in degrees mode, the polar angle will be expressed as degrees.

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