Cartesian to Polar Calculator

MATH CALCULATOR Cartesian to Polar Calculator Convert Cartesian coordinates to polar coordinates effortlessly with our online calculator.
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What is the Cartesian to Polar Calculator & How does it work?

Converting from Cartesian coordinates (x, y) to polar coordinates (r, ΞΈ) is a fundamental operation in mathematics and engineering. The conversion involves using trigonometric functions to find the radius r and the angle ΞΈ.

r = sqrt{x^2 + y^2}
r = distance from the origin to the point

The angle ΞΈ is calculated using the arctangent function, taking into account the signs of x and y to determine the correct quadrant:

ΞΈ = atan2(y, x), where atan2 is a function that returns the angle in radians between the positive x-axis and the point (x, y).

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Frequently Asked Questions
How do I convert Cartesian coordinates to polar?
To convert Cartesian coordinates (x, y) to polar, calculate r = √(x² + y²) for the radius and θ = atan2(y, x) for the angle in radians.
What is the formula for converting from Cartesian to polar?
The formulas are r = √(x² + y²) and θ = atan2(y, x), where r is the radius and θ is the angle in radians.
Why do we use atan2 instead of arctan for converting Cartesian to polar?
atan2(y, x) considers the signs of both x and y to determine the correct quadrant, providing an accurate angle measurement.
Can this calculator handle negative values for x or y?
Yes, the calculator can handle negative values for x or y and will correctly compute the polar coordinates based on their signs.
What is the difference between r and ΞΈ in polar coordinates?
r represents the radial distance from the origin to the point, while ΞΈ is the angle in radians measured counterclockwise from the positive x-axis.
How do I convert polar coordinates back to Cartesian?
To convert polar coordinates (r, ΞΈ) back to Cartesian, use x = r * cos(ΞΈ) and y = r * sin(ΞΈ).
Is this calculator suitable for complex numbers?
This calculator is designed for real number inputs. For complex numbers, consider using a different tool that supports complex arithmetic.

Results are for informational purposes only and do not constitute professional advice.