Angle Unit Conversion Calculators

Protractors are often used to measure angle
To convert a unit of angle to another, metric or imperial, choose a unit to convert from.

Understanding Angle

understanding how to convert from one measure of angle to another

Angle is the space within two lines or three or more planes diverging from a common point, or within two planes diverging from a common line, according to Dictionary.com. Put another way, angle is the amount that one line or plane is turned from another. Angles are used in geometry and trigonometry, geography and mapping, and construction, so understanding how to work with angles can be very important. A protractor is a common tool to help calculate angle between two lines. Two common measures of angle are degrees and radians. A full circle consists of 360 degrees, meaning a line is 360 degrees from itself, which is 2π in radians. Angles are measured using a protractor, learn how to use a protractor or download a printable protractor to use to measure an angle for your project. Find out more angle formulas at Mathopenref.com. Use our unit conversion tools above to convert between the different units of angle measures.

Units of Angle Measurement

Units of angle include degrees, radians, grad, revolutions, circles, and mils.

Common Angle Measurement Conversions

Degrees to radians angle conversion
1 degree is equal to 0.017453 radians
Degrees to grad angle conversion
1 degree is equal to 1.111111 grad
Radians to degrees angle conversion
1 radian is equal to 57.29578 degrees
Radians to grad angle conversion
1 radian is equal to 63.661977 grad
Grad to degrees angle conversion
1 grad is equal to 0.9 degrees
Radians to radians angle conversion
1 radian is equal to 1 radians

Angle Unit Conversion Table

Equivalent angle metric and imperial measurements
Convert From Degree Radian Grad Revolution Circle Mil
1 degree = 1 ° 0.017453 rad 1.111111 g 0.002778 r 0.002778 cir 17.777778 mil
1 radian = 57.29578 ° 1 rad 63.661977 g 0.159155 r 0.159155 cir 1,019 mil
1 grad = 0.9 ° 0.015708 rad 1 g 0.0025 r 0.0025 cir 16 mil
1 revolution = 360 ° 6.283185 rad 400 g 1 r 1 cir 6,400 mil
1 circle = 360 ° 6.283185 rad 400 g 1 r 1 cir 6,400 mil
1 mil = 0.05625 ° 0.000982 rad 0.0625 g 0.000156 r 0.000156 cir 1 mil