Free Angle Converter
Convert degrees, radians, gradians, arcminutes, arcseconds & 7 units instantly. Used by astronomers, surveyors & engineers. Free, no sign-up, displays up to 15 decimals.
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Frequently Asked Questions
Clear answers to common questions to help you use this calculator confidently.
How do you convert degrees to radians?
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How do you convert degrees to radians?
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Multiply the angle in degrees by π/180 (≈ 0.0174533). Example: 180° × π/180 = π radians ≈ 3.14159 rad. To go the other way, multiply radians by 180/π.
How do you convert 45 degrees to radians?
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How do you convert 45 degrees to radians?
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45° × (π/180) = π/4 ≈ 0.7854 radians. Other common values: 90° = π/2 ≈ 1.5708 rad, 180° = π ≈ 3.1416 rad, 360° = 2π ≈ 6.2832 rad.
What is 1 radian in degrees?
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What is 1 radian in degrees?
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1 radian equals approximately 57.2958 degrees — the angle formed when the arc length equals the radius of the circle.
How do you convert decimal degrees to DMS (degrees, minutes, seconds)?
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How do you convert decimal degrees to DMS (degrees, minutes, seconds)?
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Take the decimal part and multiply by 60 to get minutes, then take the remaining decimal of minutes and multiply by 60 to get seconds. Example: 45.75° = 45° 45' 0''.
How accurate is this angle converter?
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How accurate is this angle converter?
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Conversion factors between degrees, radians, gradians, and other angle units are exact mathematical relationships (based on π or fixed subdivisions of a circle), so results are precise to the decimal places you choose. For surveying or CAD work, follow your project's required tolerance.
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