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Convert Cylindrical to Rectangular Coordinates - Calculator



Cylindrical and Rectangular Coordinates

Convert rectangular to spherical coordinates using a calculator.
Using trigonometric ratios, it can be shown that the cylindrical coordinates \( (r,\theta,z) \) and rectangular coordinates \( (x,y,z) \) in Fig.1 are related as follows:
\( x = r \cos \theta \) , \( y = r \sin \theta \) , \( z = z \)       (I)
\( r = \sqrt {x^2 + y^2} \) , \( \tan \theta = \dfrac{y}{x} \) , \( z = z \)       (II)
with \( 0 \le \theta \lt 2\pi \)
rectangular and cylindrical coordinates.
Fig.1 - Cylindrical and Rectangular coordinates
The calculator calculates the rectangular coordinates \( x \) , \( y \) and \( z \) given the cylindrical coordinates \( r \) , \( \theta \) and \( z \) using the formulas in I above.


Use Calculator to Convert Cylindrical to Rectangular Coordinates

1 - Enter \( r \), \( \theta \) and \( z \) and press the button "Convert". You may also change the number of decimal places as needed; it has to be a positive integer.
Angle \( \theta \) may be entered in radians and degrees.


\( r = \)
\( \theta = \)
\( z = \) =
Number of Decimal Places =


\( x = \)
\( y = \)
\( z = \)


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