Convert Rectangular to Cylindrical Coordinates - Calculator
Rectangular and Cylindrical Coordinates
Convert rectangular to cylindrical coordinates using a calculator.
It can be shown that the rectangular rectangular coordinates \( (x,y,z) \) and cylindrical coordinates \( (r,\theta,z) \) 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 \( 0 \le \theta \lt 2\pi \)
Fig.1 - Rectangular and cylindrical coordinates
The calculator calculates the cylindrical coordinates \( r \) , \( \theta \) and \( z \) given the rectangular coordinates \( x \) , \( y \) and \( z \) using the formulas in II.
Use Calculator to Convert Rectangular to Cylindrical Coordinates
1 - Enter \( x \), \( y \) 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 \( \theta \) is given in radians and degrees.
