Polar Coordinates to Cartesian Calculator

Polar Coordinates to Cartesian Calculator

Polar to Cartesian

Cartesian to Polar

Enter the required details to convert polar coordinates to cartesian coordinates

Enter the radius and angle to convert polar coordinates to Cartesian coordinates or vice versa.

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Polar Coordinates to Cartesian Conversion

The conversion between polar coordinates and Cartesian coordinates is a fundamental concept in mathematics and physics. Polar coordinates are represented as (r, θ), where ‘r’ is the radius or distance from the origin, and ‘θ’ is the angle in degrees from the positive x-axis. Cartesian coordinates, on the other hand, are represented as (x, y), where ‘x’ and ‘y’ are the horizontal and vertical distances from the origin, respectively.

To convert from polar to Cartesian coordinates, you can use the following formulas:

x = r * cos(θ)

y = r * sin(θ)

These formulas allow you to determine the Cartesian coordinates (x, y) from the polar coordinates (r, θ). Conversely, to convert Cartesian coordinates to polar coordinates, you can use the formulas:

r = √(x² + y²)

θ = atan2(y, x)

Here, ‘√’ denotes the square root, and ‘atan2’ is the two-argument arctangent function, which returns the angle θ in degrees.

Understanding Polar and Cartesian Coordinates

Polar coordinates are particularly useful in scenarios where relationships are more naturally expressed in terms of angles and