
Cylindrical and Rectangular CoordinatesConvert 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 \( 0 \le \theta \lt 2\pi \) 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 Coordinates1  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. More References and linksMaths Calculators and Solvers. 