Math

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Polar to Cartesian Calculator.

Convert polar coordinates to x and y.

On-device calculationNo signup
01

Set your values

Results update as you type.

x: 3

x

3.000000
y: 4

y

4.000000

Results update automatically as you type.

Use Cases

Graphing and plotting

Convert polar coordinates to Cartesian to plot points on a standard x-y graph, useful for math homework or data visualization.

Example: Convert (r=5, θ=60°) to (x, y) to plot the point.

Engineering and physics applications

Convert polar coordinates to Cartesian for vector components, force analysis, or signal processing.

Example: Convert a polar vector (r=10, θ=45°) to its x and y components.

Frequently Asked Questions

How do I convert polar coordinates to Cartesian coordinates?
Use the formulas x = r * cos(θ) and y = r * sin(θ), where r is the radius and θ is the angle. Enter your radius and angle in the calculator, and it will compute the x and y coordinates for you.
What units can I use for the angle?
The calculator accepts the angle in degrees or radians. Make sure to select the correct unit before calculating, as the trigonometric functions depend on the unit.
Can I convert negative angles?
Yes, negative angles are allowed. A negative angle represents a clockwise rotation from the positive x-axis, and the calculator will correctly compute the Cartesian coordinates.

Tips & Common Mistakes

Tips

  • Double-check the angle unit (degrees or radians) before calculating to avoid errors.
  • Remember that the radius can be negative, which flips the point to the opposite quadrant.
  • For quick conversions, use the calculator for multiple values to see patterns.
  • If you need to convert back, use the Cartesian to Polar calculator.

Common Mistakes to Avoid

  • Forgetting to switch the calculator to the correct angle mode (degrees vs radians).
  • Using the wrong formula: x = r * sin(θ) and y = r * cos(θ) instead of the correct ones.
  • Entering the angle in degrees but expecting radian results, or vice versa.

Last updated: August 13, 2026