Cartesian to Polar Converter
Convert Cartesian (X,Y) coordinates to Polar (R,θ) coordinates instantly. Includes quadrant analysis, complex plane forms, and step-by-step steps.
Cartesian to Polar Converter
Convert (x, y) coordinates to polar form (r, θ) with high precision.
Polar Form (r, θ)
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Radius (r)
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Angle (θ) in Degrees
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Angle (θ) in Radians
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Conversion Steps
1. Calculate Radius (r)
r = \sqrt{x^2 + y^2}
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2. Calculate Angle (θ)
\theta = \operatorname{atan2}(y, x)
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How to Use Cartesian to Polar Converter in 3 Easy Steps
1
Step 1
Enter your X coordinate value (Horizontal position).
2
Step 2
Enter your Y coordinate value (Vertical position).
3
Step 3
The converter will automatically calculate the Radius (r) and Angle (θ) in both degrees and radians.
Frequently Asked Questions
The radius is found using the Pythagorean theorem: r = √(x² + y²).
The angle is found using the atan2(y, x) function, which correctly handles all four quadrants.
At (0,0), the radius is 0 and the angle is technically undefined, though often treated as 0.