Polar to Rectangular Coordinates Calculator

The relationships between polar coordinates \((R, \theta)\) and rectangular coordinates \((x, y)\) are given by:

\[x = R \cos \theta\] \[y = R \sin \theta\] and \[R^2 = x^2 + y^2\] \[\tan \theta = \dfrac{y}{x}\]

The angle \(\theta\) quadrant is determined by the signs of \(x\) and \(y\). Below, enter \(R\) (positive) and \(\theta\) in degrees or radians.

Polar and rectangular coordinates diagram
Figure 1: Polar \((R,\theta)\) and rectangular \((x,y)\)

Polar → Rectangular

Enter R and θ – choose degrees or radians tab
Angle in Degrees
Angle in Radians
Click to add π symbol, if needed, at cursor

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