Rectangular to Polar Calculator

MATH CALCULATOR Rectangular to Polar Calculator Convert rectangular coordinates to polar coordinates with this online calculator.
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What is the Rectangular to Polar Calculator & How does it work?

Rectangular coordinates, also known as Cartesian coordinates, are defined by two perpendicular axes: the x-axis and the y-axis. Polar coordinates, on the other hand, use a distance from a reference point (the origin) and an angle measured from a reference direction.

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

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

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Frequently Asked Questions
How do I convert rectangular coordinates to polar coordinates?
To convert rectangular coordinates (x, y) to polar coordinates (r, ΞΈ), calculate r as the square root of x squared plus y squared. Then, use the arctangent function to find ΞΈ, considering the signs of x and y to determine the correct quadrant.
What is the formula for converting rectangular to polar coordinates?
The formulas are r = √(x² + y²) for the radius and θ = arctan(y/x), adjusted for the correct quadrant based on the signs of x and y.
Can you explain how the angle ΞΈ is determined in polar coordinates?
The angle ΞΈ is calculated using the arctangent function (arctan(y/x)). The quadrant of ΞΈ is determined by the signs of x and y to ensure the correct direction.
Why would I use a Rectangular to Polar Calculator?
You might use this calculator when dealing with problems in physics, engineering, or mathematics that are easier to solve using polar coordinates instead of rectangular ones.
What is the difference between rectangular and polar coordinates?
Rectangular coordinates (x, y) use two perpendicular axes, while polar coordinates (r, ΞΈ) use a distance from a reference point and an angle measured from a reference direction.
How do I input values into the Rectangular to Polar Calculator?
Enter the x and y values in their respective fields. The calculator will then compute and display the corresponding r and ΞΈ values.
Can this calculator handle negative x or y values?
Yes, the calculator can handle negative x or y values. It uses these to determine the correct quadrant for the angle ΞΈ.

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