Free Mathematics Tutorials

Convert Polar to Rectangular Coordinates - Calculator

Convert polar to rectangular two dimensional coordinates using a calculator.

The relationships between rectangular coordinates (x , y) and polar coordinates (R , t), using the figure below, are as follows:

y = R sin t and x = R cos t
R² = x² + y² and tan t = y / x
where the quadrant of angle t is determined by the signs of x and y.

An html 5 applet is used to calculate x and y knowing R and t. Angle t may be in degrees or radians.

1 - Enter angle t then R (positive). Depending on whether t is in degrees or radians, press the button "Convert" that is in the same row.