Angle Unit Converter

Convert between degrees, radians, gradians, turns, arcminutes and arcseconds instantly.

즉시 결과 브라우저에서 실행

Tip: Enter a value in any field — all other units update automatically.

Reference angles

°radgonturn
Full circle 3602π ≈ 6.28324001
Half circle (straight angle) 180π ≈ 3.1416 2000.5
Right angle 90 π/2 ≈ 1.57081000.25
Equilateral triangle angle 60 π/3 ≈ 1.047266.670.167
45° angle (π/4)45 π/4 ≈ 0.7854500.125
30° angle (π/6) 30 π/6 ≈ 0.523633.330.0833

Key Conversion Factors

1 rad = 180/π ≈ 57.296°
1° = π/180 ≈ 0.017453 rad
1 gon = 0.9°
1° = 10/9 gon ≈ 1.1111 gon
1 turn = 360° = 2π rad
1° = 60′ = 3 600″
1′ = 60″

사용 방법?

  1. 1
    Enter a value Type in any unit field — degrees, radians, gradians or turns. All other fields update instantly.
  2. 2
    Read the result All six units are shown simultaneously. No need to press Calculate.
  3. 3
    Copy or share Use the Copy button to copy all results to the clipboard, or share the page link.

자주 묻는 질문

How do you convert degrees to radians?
Multiply degrees by π/180 (≈ 0.017453). For example, 90° × π/180 = π/2 ≈ 1.5708 rad. To go the other way, multiply radians by 180/π (≈ 57.296).
What is a gradian (gon)?
A gradian (also called gon or grad) divides the full circle into 400 equal parts. It is used in surveying and civil engineering. A right angle = 100 gradians = 90 degrees = π/2 radians.
What is an arcminute and arcsecond?
1 degree is divided into 60 arcminutes (′) and each arcminute into 60 arcseconds (″). These are used in astronomy, navigation (GPS coordinates), and optics. 1° = 60′ = 3 600″.

Angle Units Explained

Angles can be measured in several units depending on the field. The most common are degrees (°) for everyday use, radians (rad) for mathematics and physics, and gradians (gon) for surveying.

Degrees vs Radians

A full circle is 360° or 2π radians. Radians are the SI-derived unit and are required in most mathematical and scientific formulas. The conversion: radians = degrees × π / 180.

Arcminutes and Arcseconds

Used in astronomy and GPS coordinates, 1° = 60 arcminutes (′) = 3 600 arcseconds (″). GPS latitude/longitude is often expressed in degrees, minutes and decimal seconds (DMS format).

Gradians (Gon)

The gradian system divides a right angle into 100 parts, making the full circle 400 gon. It is used in land surveying and civil engineering across Europe. A slope of 1% equals 0.01 gon ≈ 0.573°.

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