Angle Unit Converter

WHAT IT DOES

Angle Unit Converter transforms angle values between degrees, radians, and gradians. Enter an angle in any unit and see the converted result instantly. The tool is essential for mathematics, physics, engineering, surveying, and navigation applications. You can swap the input and output units with one click, adjust the decimal precision (0-10 places), and copy the result to your clipboard. A comparison display shows the unit names alongside the values for context.

WHERE IT RUNS

The extension runs entirely within your browser's local environment using the BotGentz framework. All angle conversion, unit calculation, and formatting occur on your machine without any network requests. No angle data, conversion results, or user activity is ever transmitted, uploaded, or stored externally. The tool works on any website and respects the browser's security boundaries, operating within the isolated extension sandbox. Angle conversion uses standard mathematical formulas.

HOW TO USE

Click the extension toolbar icon to open the Angle Unit Converter panel. Enter an angle value in the input field. Select the "From" unit (Degrees, Radians, or Gradians) and the "To" unit. The conversion result appears instantly if auto-convert is enabled. Click "Convert" to manually trigger a conversion. Click "Swap Units" to exchange the from and to units. Click "Copy Result" to copy the conversion result to your clipboard. Toggle "Auto convert" to enable or disable real-time conversion. Toggle "Show comparison" to display the unit names alongside the values. Toggle "Swap default direction" to control whether the default from/to direction is swapped. Adjust the "Decimal places" (0-10) to control the precision of the result. The tool updates automatically when you change settings.

THE ANGLE CONVERSION ENGINE — WHY IT WORKS

Most angle converters use separate formulas for each conversion direction. This tool uses a unified conversion engine that first converts any input to radians (the SI unit for angles), then converts from radians to the target unit. The conversion factors are: 1 radian = 180/π degrees, 1 radian = 200/π gradians. The engine performs the conversion in two steps: radians = value × fromFactor (where fromFactor is the conversion factor to radians), then result = radians / toFactor (where toFactor is the conversion factor from radians to the target unit). The factors are: degrees: π/180, radians: 1, gradians: π/200. For example, to convert 180° to radians: 180 × (π/180) = π radians. To convert 1 radian to degrees: 1 / (π/180) = 180/π ≈ 57.2958°. This approach ensures accurate conversions across all three units.

THE PANEL

The Angle Unit Converter panel is fully draggable by its title bar and remembers its position on screen per website. It snaps to the edges of your browser window for clean alignment. Collapse the panel to a compact icon strip using the minimize button, restoring it with a single click. Resize the panel by dragging any edge or corner; the input area, unit selectors, and result display adjust proportionally. Press the Escape key to close the panel instantly. The panel maintains independent state for each browser tab, allowing you to convert angles in multiple tabs simultaneously.

PLEASE NOTE

This extension requires the free BotGentz extension framework to be installed and enabled. The tool supports three angle units: degrees, radians, and gradians. The auto-convert feature triggers on every input event; disabling it can improve performance on slower devices. The comparison display is optional and can be toggled on or off. All conversion data is processed locally and is never transmitted, logged, or shared. The extension requests no network permissions and functions entirely offline. The source code is fully auditable and available for review.