Polar to Cartesian Coordinate Converter

Convert polar coordinates (r, θ) into Cartesian coordinates (x, y). Enter the angle in degrees or radians and see the point on a coordinate plane.

Input

Enter the radius r and angle θ to convert to Cartesian coordinates (x, y). Choose degrees or radians for the angle.

Radius r

Angle θ

Cartesian point (x, y)

(4.330127, 2.5)

x coordinate

4.330127

y coordinate

2.5

Angle in radians

0.523599

Angle in degrees

Computed with x = r cosθ and y = r sinθ. θ is measured counterclockwise from the positive x axis.

The Cartesian coordinates are computed with x = r cosθ and y = r sinθ, where θ is measured counterclockwise from the positive x axis.
You can switch the angle unit between degrees and radians. To convert degrees to radians, multiply by π / 180.
When the radius r is negative, the point is placed in the direction opposite to the angle θ.
The diagram shows the x and y axes, the radius from the origin to the point, and guide lines to each component. It scales automatically to fit the point.

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