This tool converts polar coordinates to cartesian coordinates for you.
How to Use the Polar to Cartesian Calculator
Enter the values for the radius (r) and the angle (θ) in degrees into the respective input fields.
- Radius (r): The distance from the origin to the point.
- Angle (θ): The angle in degrees from the positive X-axis.
Click the “Calculate” button to convert the polar coordinates to Cartesian coordinates. The results will be displayed in the “Result” input field indicating the (X, Y) coordinates.
Explanation of the Calculation
The Polar to Cartesian conversion uses the following formulas:
- X = r * cos(θ) – Where θ must be converted to radians.
- Y = r * sin(θ) – Where θ must be converted to radians.
We first convert the angle from degrees to radians using the formula θ (radians) = θ (degrees) * (π / 180). Then we apply the aforementioned formulas to compute the X and Y coordinates.
Limitations
This calculator assumes that the provided angle is in degrees. Ensure that the radius and angle are numeric values. Non-numeric inputs will result in an error. For extremely large values, numerical precision might be a limitation.