Accurately convert between 8 angle units including degrees, radians, minutes, seconds, and gradians. Ideal for engineering, math, and surveying.
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Need to convert radians to degrees in CAD drawings, or standardize degrees, minutes, and seconds (DMS) from surveying data into decimal degrees for calculations? This tool accurately solves the challenge of converting between different angle unit systems. An angle measures the space between two intersecting rays, and "angle unit conversion" is essentially the process of translating the same angle value between different standard units (such as degrees and radians). By inputting a value and its original unit, the tool instantly outputs the equivalent value across eight different units: degrees (°), radians (rad), gradians (gon), minutes (′), seconds (″), right angles, full circles, and milliradians (mrad).
Q: How many degrees are in 1 radian?
1 radian is approximately equal to 57.2958 degrees. This is the fundamental conversion relationship between radians and degrees, calculated using the formula: Degrees = Radians × (180/π).
Q: How does the tool handle Degrees, Minutes, Seconds (DMS) input?
This tool currently does not support direct input in the "Degrees° Minutes′ Seconds″" format. If you have DMS data, you must first convert it to decimal degrees. For example, 30°15′10″ should be calculated as 30 + 15/60 + 10/3600 ≈ 30.2528 degrees before entering it into the tool.
Please ensure the entered "Value" is a valid number; non-numeric characters will cause the conversion to fail. Make sure the selected "Unit" matches your actual data, otherwise the results will be incorrect. High-precision conversions may contain multiple decimal places; please adjust the "Precision" setting or round manually to suit your specific application. This tool operates entirely on the front end, meaning all data is processed locally in your browser with no risk of privacy leaks.
Using the correct angle unit is crucial in engineering and scientific calculations. For instance, in programming (like Python's math library) or CAD software, trigonometric functions typically default to radians. If your original data is in degrees, plugging it in directly will cause errors. In such cases, you can use this tool to convert degrees to radians first. A typical example: converting 60 degrees to radians yields π/3 ≈ 1.0472 rad. Conversely, if you receive radian values from a sensor but need to report them in degrees, you can perform a reverse conversion. We recommend standardizing the units of all angular measurements before performing complex formula calculations to avoid dimensional errors caused by mixed units.
