Polar Coordinates Calculator

Your details

Choose which direction you want to convert.
Select the angle unit for theta input and output.
The horizontal coordinate of the point.
The vertical coordinate of the point.
r (radius)
5

Distance from the origin to the point.

theta (degrees)53.1301deg
theta (radians)0.927295rad
x (horizontal)3
y (vertical)4
QuadrantQuadrant I

Rectangular (3, 4) converts to polar (r=5.0000, theta=53.1301 deg).

  • The point (3, 4) is 5.0000 units from the origin.
  • The angle to the positive x-axis is 53.1301 degrees (0.9273 radians).
  • The point lies in: Quadrant I.
  • A polar point has infinitely many equivalent representations: adding or subtracting 360 degrees (2pi radians) to theta gives the same point.

Next stepTo convert back, simply reverse the direction using the "Conversion direction" dropdown above.

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