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Rectangular-Polar Coordinate Conversion

Coordinate conversion can be performed in the Calculate and Statistics calculation modes.

Pol converts rectangular coordinates to polar coordinates, while Rec converts polar coordinates to rectangular coordinates.

Specify the angle unit before performing calculations.

Converting to Polar Coordinates (Pol)

Pol(X, Y) X: Specifies the rectangular coordinate X value

Pol(X, Y) Y: Specifies the rectangular coordinate Y value

Calculation result θ is displayed in the range of -180° < θ < 180°.

Calculation result θ is displayed using the calculator’s angle unit.

Calculation result r is assigned to variable X, while θ is assigned to Y.

Converting to Rectangular Coordinates (Rec)

Rec(r, θ) r : Specifies the polar coordinate r value

Rec(r, θ) θ : Specifies the polar coordinate θ value

Input value θ is treated as an angle value, in accordance with the calculator’s angle unit setting.

Calculation result x is assigned to variable X, while y is assigned to Y.

If you perform coordinate conversion inside of an expression instead of a stand-alone operation, the calculation is performed using only the first value (either the r-value or the X-value) produced by the conversion.
Example: Pol (√2, √2) + 5 = 2 + 5 = 7

Rectangular-Polar Coordinate Conversion Examples

Example 1: (X, Y) = (√2, √2) → (r, θ) (Angle Unit: Degree)

(MathI/MathO)

  • (Pol)2(,)2

(LineI/LineO)

  • (Pol)2(,)2

Example 2: (X, Y) = (√3, 1) → (r, θ) (Angle Unit: Radian)

(MathI/MathO)

  • (Pol)3(,) 1

(LineI/LineO)

  • (Pol)3(,) 1

Example 3: (r, θ) = (√2, 45) → (X, Y) (Angle Unit: Degree)

(MathI/MathO)

  • (Rec)2(,) 45

(LineI/LineO)

  • (Rec)2(,) 45

Example 4: (r, θ) = (2, π6) → (X, Y) (Angle Unit: Radian)

(MathI/MathO)

  • (Rec)
    2(,)(π)6

(LineI/LineO)

  • (Rec) 2(,)(π)6
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