Cartesian To Polar Calculator

Summary

Enter x and y coordinates to instantly compute the polar radius (r) and angle (theta) in both degrees and radians.

How it works

1. Enter the x-coordinate (horizontal axis value) in the first field.
2. Enter the y-coordinate (vertical axis value) in the second field.
3. The calculator computes r = √(x² + y²) for the radius.
4. The angle θ = atan2(y, x) is calculated, preserving the correct quadrant.
5. Results are shown in degrees (0°–360°) and radians (0–2π).
6. A visual plot updates live to show the point in both coordinate systems.

Use cases

• Convert physics or engineering vectors from rectangular to polar form.
• Prepare inputs for polar graphing tools or trigonometric calculations.
• Verify hand calculations when solving 2D navigation or robotics problems.
• Understand the relationship between Cartesian and polar representations.
• Convert complex numbers from rectangular to polar (modulus and argument).
• Teaching and learning coordinate geometry concepts visually.

Frequently Asked Questions