Polar to Cartesian Coordinates Calculator

Convert Polar (r, θ) to Cartesian (x, y)

Easily transform polar coordinates (defined by a radius (r) and an angle (θ)) into their equivalent Cartesian coordinates (X and Y values). Our online tool provides instant, accurate conversions, perfect for students, engineers, and anyone working with coordinate systems in mathematics and physics.

Formula:

The formulas to convert polar coordinates (r, θ) to Cartesian coordinates (x, y) are:

  • x = r ⋅ cos(θ)
  • y = r ⋅ sin(θ)

Where:

  • r is the distance from the origin (radius).
  • θ is the angle measured counterclockwise from the positive X-axis.
  • x is the horizontal Cartesian coordinate.
  • y is the vertical Cartesian coordinate.

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