Angle Converter
Convert angles between degrees, radians, gradians and turns.
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Results update as you type.
About this calculator
An angle converter changes an angle between degrees, radians, gradians (gon), arcminutes, arcseconds and full turns. It converts through the degree, using π to relate degrees and radians.
Frequently asked questions
How do I convert degrees to radians?
Multiply degrees by π/180. A full circle of 360° equals 2π radians, so 180° = π radians ≈ 3.14159 and 90° = π/2 ≈ 1.5708 radians.
What is a gradian?
A gradian (gon) divides a right angle into 100 parts, so a full circle is 400 gon. It is used in some surveying and engineering contexts.
How many arcminutes are in a degree?
One degree is 60 arcminutes, and one arcminute is 60 arcseconds — the same sexagesimal split used for time.
Results are estimates for general guidance only, not financial, medical or tax advice.