Coordinate Converter (Cartesian / Polar)
Convert between Cartesian (x,y) and polar (r,θ) coordinates.
Input Data
Cartesian→polar or polar→Cartesian.
X
Y
R
Theta
Degrees or radians.
Results
Converted coordinates.
5 @ 53.130102°
Explanatory note about the result.
r=5；θ=53.130102°
At a glance:x = r·cosθ, y = r·sinθ; r = √(x²+y²), θ = atan2(y,x). Complements slope and distance-formula.
Formula
x = r·cosθ, y = r·sinθ.
r = √(x²+y²), θ = atan2(y,x).
How to Use
- Pick a mode and enter coordinates.
- The tool returns the other form.
Case Studies
(3,4) → r=5, θ=53.13°
r=5; θ=atan2(4,3)=53.13°.
FAQ
Degrees or radians?
Choose; internally trig uses radians.
Related Tools
References
Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.