Convert (x, y) to (r, θ) and back, degrees or radians, with a live coordinate diagram, browser-only
- Runs locally
- Category Format Converter
- Best for Turning pasted content or local files into a handoff-friendly format.
Convert between rectangular (Cartesian) coordinates (x, y) and polar coordinates (r, θ). Pick a direction, type the numbers, and read the answer. r = √(x²+y²) and θ = atan2(y, x); going back, x = r·cosθ and y = r·sinθ. Everything runs in your browser.
What this tool does
Convert between rectangular (Cartesian) coordinates (x, y) and polar coordinates (r, θ) in both directions, with the angle in degrees or radians. Going to polar, the radius is r = √(x²+y²) and the angle is θ = atan2(y, x), which keeps the quadrant correct and never divides by zero when x is 0. Going back to rectangular, x = r·cosθ and y = r·sinθ. You can normalise the angle to the [0, 360) convention used in navigation and surveying, or to the (−180, 180] convention used in signal processing and physics. A small SVG diagram draws the point, the radius line and the axes so you can sanity-check the quadrant at a glance. Tiny floating-point dust like cos(90°) returning 6e-17 is snapped to zero so the answers read cleanly. One-click copy and a shareable URL reproduce your exact inputs, direction and units. Everything runs in your browser; no coordinates are uploaded.
Tool details
- Input
- Numbers
- The page exposes text boxes, numeric controls, file pickers, or structured inputs depending on the tool.
- Output
- Live result + Copy + Preview
- The result area focuses on usable output, with copy, download, or preview actions when supported.
- Privacy
- Browser-side processing
- The main tool logic does not call an external API, so inputs normally stay in the current tab.
- Save / share
- Shareable URL state
- Key settings are encoded in the URL so another person can reopen the same setup.
- Performance budget
- Initial JS <= 9 KB
- No WASM budget is declared, keeping the tool quick to open on mobile.
- Best fit
- Format Converter · Student
- Category and role tags drive related tools, internal links, and quick fit checks.
How to use
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1. Input
Paste or drop your content into the tool panel.
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2. Process
Click the button. All processing is local in your browser.
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3. Copy / Download
Copy the result or download to disk in one click.
How Polar / Rectangular Coordinate Converter fits into your work
Use it when the main problem is getting content from one practical format into another.
Conversion jobs
- Turning pasted content or local files into a handoff-friendly format.
- Previewing a conversion before you use it in a larger workflow.
- Cleaning small format mismatches without opening a full editor.
Conversion checks
- Try a small sample first when the source format is messy.
- Check character encoding, separators, and line endings after conversion.
- Keep the source until the converted output has been reviewed.
Good next steps
These links move the current task into a more complete workflow.
- 1 Scientific Calculator Scientific calculator — sin / cos / log / sqrt / power, with full keyboard input + history, deg/rad mode. Open
- 2 Complex Number Calculator Complex number calculator — +-×÷ + conjugate + modulus + argument + polar/Cartesian conversion + powers + roots + Euler form, complex plane visualization. Open
- 3 Unit Converter Convert between length, weight, temperature, area, volume, speed, time — instant, browser-only Open
FAQ
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