Calxsolver
Trigonometry

Polar to Cartesian Coordinates

Enter a polar coordinate (r, θ) and choose whether θ is in degrees or radians. The calculator applies x = r·cos(θ) and y = r·sin(θ) to get the Cartesian coordinates, with the degree-to-radian conversion shown when needed.

Polar to Cartesian Coordinates

Convert (r, θ) to (x, y), accepting θ in degrees or radians.

Try:
Answer(x, y) = (3, 4)
  1. Polar coordinates(r, θ) = (5, 53.1301°)
  2. Convert to radians53.1301° × π/180 = 0.927295 rad
  3. xx = r·cos(θ) = 5 × 0.6 = 3
  4. yy = r·sin(θ) = 5 × 0.8 = 4
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Frequently asked questions

Can the radius r be negative?

Yes. A negative radius reflects the point through the origin, so (−r, θ) equals (r, θ + π).

What units should I use?

Either — choose Degrees or Radians on the unit selector and the calculator converts internally before applying cos and sin.

Is this the inverse of the Cartesian-to-polar tool?

Yes. Converting (x, y) → (r, θ) and back returns the original point, up to the floating-point precision of the trig calls.

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