Convert angle measurements between degrees, radians, gradians, arcminutes, arcseconds and revolutions.
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Result
0.017453 rad
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This tool converts between angle units using fixed conversion factors, for example, 1 radian equals about 57.296 degrees, and 1 full revolution equals 360 degrees. Enter a value in any supported unit and it's converted to all others using these standard ratios.
Degrees are the everyday standard for angles, navigation and geometry. Radians are the SI standard used throughout math and physics, especially in calculus and trigonometry. Gradians appear in some surveying contexts, and arcminutes/arcseconds are used for very precise small-angle measurements in astronomy and navigation.
Converting 45 degrees to radians gives exactly 0.785398 (45 × π/180), which is π/4, one of the standard reference angles used constantly in trigonometry, right alongside 0, π/6, π/3 and π/2.
Feeding a value in radians into a calculator or formula expecting degrees (or vice versa), this is one of the most common trigonometry errors, always double check which unit a function or spec expects before plugging in a value.
Assuming a gradian is close to a degree, a gradian (1/400 of a full revolution) is slightly smaller than a degree (1/360 of a revolution), close enough to cause subtle errors if treated as equivalent.
Forgetting that arcminutes and arcseconds divide a degree the same way minutes and seconds divide an hour, 30 arcminutes is half a degree, not 30 degrees, a mixup that matters in astronomy and precise navigation.
Multiply degrees by π/180 (approximately 0.0174533) to get radians, or use this converter for an instant result.
There are 60 arcminutes in one degree, and 60 arcseconds in one arcminute, similar to how minutes and seconds divide an hour.
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