Polar to Rectangular Coordinates Calculator

Your details

Choose which coordinate system you are starting from.
The unit used for the angle theta in both input and output.
The radial distance from the origin. Can be positive or negative.
The angle measured counter-clockwise from the positive x-axis.
deg
x (rectangular)
3.999995

Horizontal Cartesian coordinate: x = r cos(theta)

y (rectangular)3.000007
x coordinate3.999995
y coordinate3.000007

(5, 36.87 deg) converts to (4.0000, 3.0000)

  • The point (4.0000, 3.0000) lies in Quadrant I (both x and y positive).
  • Its distance from the origin is 5.0000, which equals |r| = 5.
  • Trigonometric identity check: x^2 + y^2 = 25.0000, which should equal r^2 = 25.0000.

Next stepTo verify, substitute x and y back into r = sqrt(x^2 + y^2) - you should recover |r|.

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