Polar ↔ Rectangular Coordinate Converter (Free)

Use this free polar ↔ rectangular converter to switch a point between rectangular (x, y) and polar (r, θ) coordinates. Enter your point and you’ll get the other form in degrees and radians, with the formulas and a diagram of the point.

How to use the converter

1. Choose a direction: Rectangular → Polar or Polar → Rectangular.
2. Enter the coordinates (with degrees or radians for the angle).
3. Read the converted point and see it plotted.

The formulas

Rectangular to polar: r = √(x² + y²) and θ = atan2(y, x). Polar to rectangular: x = r·cosθ and y = r·sinθ.

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Frequently asked questions

How do you convert rectangular to polar?

Use r = √(x² + y²) for the distance and θ = atan2(y, x) for the angle. The point (3, 4) becomes (5, 53.13°).

How do you convert polar to rectangular?

Use x = r·cosθ and y = r·sinθ. The point (5, 53.13°) becomes (3, 4).

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Does it work in degrees and radians?

Yes — choose the angle unit, and the result is shown in both degrees and radians.

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Read the full lesson: learn the method step by step.

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