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Cartesian to Polar Coordinates

Convert a point into radius and signed angle using atan2.

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Your numbers

Local calculations. Results are estimates, not professional advice.

Radius

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Use consistent units. The result follows the assumptions you enter.

Formula

Use r = √(x²+y²) and θ = atan2(y,x). x and y are Cartesian coordinates in the same unit. Radius r keeps that unit; the signed angle θ is converted from radians to degrees for display.

Convert a point into radius and signed angle using atan2.

Worked example

x coordinate
3
y coordinate
4
Radius
5
Angle
53.1301023542 °

Scope and limitations

Use consistent units. The result follows the assumptions you enter.

Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.

Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.

Formula version: cba5477970a4 · Example checked:

Methodology

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