Cartesian to Polar Converter
Easily convert Cartesian (x, y) coordinates to Polar (r, θ) coordinates online. Visualize the conversion and understand the formula.
Enter Cartesian Coordinates
Input the x and y values to convert them into polar coordinates.
Visualization
Graphical representation of Cartesian to Polar conversion.
Polar Coordinates Results
Understanding Cartesian to Polar Coordinates
In mathematics, the Cartesian coordinate system is used to uniquely determine each point in a plane by a pair of numerical coordinates, which are the signed distances from the point to two fixed perpendicular oriented lines, measured in the same unit of length. To represent the same point in polar coordinates, we use a distance from a reference point (origin) and an angle from a reference direction.
The conversion formulas are:
- Radius (r): $$\sqrt{x^2 + y^2}$$
- Angle (θ): $$atan2(y, x)$$ (in radians)
This tool helps you convert Cartesian coordinates to polar coordinates, providing both numerical results and a visual representation. Polar coordinates are particularly useful in situations where the system exhibits radial symmetry.
Learn more about coordinate systems on Wikipedia and Polar Coordinates.