📍 Polar Coordinates Calculator
Convert between Cartesian and polar coordinates
Polar Coordinates (r, θ)
How to Use This Calculator
Select Conversion Direction
Choose whether to convert from polar to Cartesian or vice versa.
Enter Coordinates
Input the coordinates based on your selection: (r, θ) for polar or (x, y) for Cartesian. Angle θ is in degrees.
Convert
Press "Convert" to get the equivalent coordinates in the other coordinate system.
Formula
Polar → Cartesian:
x = r × cos(θ), y = r × sin(θ)
Cartesian → Polar:
r = √(x² + y²), θ = arctan2(y, x)
About Polar Coordinates Calculator
The Polar Coordinates Calculator converts between Cartesian (x, y) and polar (r, θ) coordinate systems. Polar coordinates use distance from origin and angle from positive x-axis.
When to Use This Calculator
- Trigonometry: Convert between coordinate systems
- Geometry: Work with circular and radial problems
- Physics: Analyze rotational and radial motion
Frequently Asked Questions
What are polar coordinates?
Polar coordinates (r, θ) represent a point using distance r from origin and angle θ from positive x-axis. Formula: x = r cos(θ), y = r sin(θ).
How do I convert from Cartesian to polar?
Use: r = √(x² + y²) and θ = arctan2(y, x). Use arctan2 (not arctan) to get the correct angle in all quadrants.