gradians to radians
Convert gradian to radian — instant, free, with the formula shown.
1 gon=0.01570796 rad
How to convert gradian to radian
To convert gradian to radian, multiply by 0.01570796:
rad = gon × 0.01570796
For example, 10 gon × 0.015708 = 0.15707963 rad.
gon to rad conversion table
| gradians (gon) | radians (rad) |
|---|---|
| 1 gon | 0.01570796 rad |
| 2 gon | 0.03141593 rad |
| 5 gon | 0.07853982 rad |
| 10 gon | 0.15707963 rad |
| 25 gon | 0.39269908 rad |
| 50 gon | 0.78539816 rad |
| 100 gon | 1.57079633 rad |
| 250 gon | 3.92699082 rad |
| 500 gon | 7.85398163 rad |
| 1000 gon | 15.70796327 rad |
Other gradian conversions
Convert to radian from another unit
gon to rad — frequently asked
How many radians are in 1 gradian?
1 gradian = 0.01570796 radians (gon × 0.015708 = rad).
What is the formula to convert gradian to radian?
Multiply your gradian value by 0.01570796 to get radian.
How do I convert 10 gradians to radians?
10 gon = 0.15707963 rad. For 100 gon the answer is 1.57079633 rad. Use the calculator on this page for any other value.
When to convert gradian to radian
1Mathematics and trigonometry (radians)
2Surveying and navigation (degrees, minutes, seconds)
3Engineering (mrad for laser sights, optics)
4Astronomy (arc-seconds for stellar parallax)
Angle conversion — common questions
Why are radians used in math instead of degrees?
Because in radians, derivatives and series of trig functions take their simplest form (d/dx sin(x) = cos(x) only when x is in radians).
How many degrees in 1 radian?
1 rad = 180/π ≈ 57.2958°.
Related calculators & tools
Compound Interest Calculator
SIP, FD, and investment returns
BMI Calculator
Body Mass Index with Asian thresholds
Calorie Calculator
Daily intake, TDEE & macros
Loan EMI Calculator
Home, car & personal loan EMI
Caffeine Half-Life Calculator
How long caffeine stays in your system
Percentage Calculator
Convert marks to percentage