Angle
Browse Angle conversions1 gradian = 0.015708 radian
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Formula Summary
Result: 1 gradian = 0.015708 radian
Formula: (1 x 0.9) / 57.295779513082
Rounding: Displayed to 6 decimal places by default, trimmed for readability. Use Detailed or Scientific for more precision.
Real World Context
0.015708 radian is approximately:
- creates about 1.57 meters of sideways separation over 100 meters
Unit Story
Gradian
A gradian divides a right angle into 100 parts and a full turn into 400. Surveying equipment still uses gradians in several countries.
Radian
A radian links an angle directly to a circle: the arc length equals the radius. That natural relationship makes radians central to mathematics and engineering.
How This Conversion Works
Gradian and radian are both used for angle conversions. This page converts 1 gradian into 0.015708 radian using the formula shown below.
Use this result for quick checks, comparisons, and everyday reference. For work that depends on exact precision, review the rounding setting and the assumption note before using the number.
The precision controls let you switch between a shorter result, the standard readable result, and scientific notation when the value is very large or very small.
Unit Notes
- 1 gradian (gon) equals 0.9 degree.
- 1 radian (rad) equals 57.2957795131 degree.
Questions
How do you convert gradian to radian?
This page converts gradian to radian using this formula: (1 x 0.9) / 57.295779513082.
What is 1 gradian in radian?
1 gradian equals 0.015708 radian.
How many decimals does this converter show?
Displayed to 6 decimal places by default, trimmed for readability. Use Detailed or Scientific for more precision. The precision buttons can also show a shorter result or scientific notation.
Equivalent Values
Nearby Values
Full Details
- Formula
- (1 x 0.9) / 57.295779513082
- Rounding
- Displayed to 6 decimal places by default, trimmed for readability. Use Detailed or Scientific for more precision.
- Assumption
- Angle conversions use one full turn = 360 degrees = 2 pi radians = 400 gradians. A NATO mil is 1/6400 of a full turn.
