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.