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Gradians to Radians converter

Convert grad to rad instantly. Type any value and get the result in radians. 1 grad = 0.015708 rad.

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Angle›grad → rad
From
To
result below ↓
1 grad=
0.015708rad
formula1 grad = 0.015708 rad

Common gradians → radians

=0.015708 rad
=0.0314159 rad
=0.0785398 rad
=0.15708 rad
=0.314159 rad
=0.785398 rad
=1.5708 rad
=7.85398 rad
=15.708 rad

Need a different value? .

Convert the other way
Radians to Gradians

How to convert gradians to radians

To convert gradians to radians, multiply the value by 0.015708.

Formula
rad = grad × 0.015708

For example:

  • →5 grad = 0.0785398 rad
  • →100 grad = 1.5708 rad

Quick reference

  • ▸1 grad = 0.015708 rad
  • ▸1 rad = 63.662 grad

When you need to convert grad to rad

  • ·Geometry and trigonometry homework.
  • ·CAD and 3D modeling — rotation values.
  • ·Navigation and bearings.
  • ·Astronomy — arcminutes and arcseconds.
  • ·Woodworking and construction — miter and bevel angles.

Frequently asked

How many radians are in 1 gradian?
One gradian equals 0.015708 radians.
How do I convert grad to rad in my head?
Multiply the value in gradians by 0.015708 to get radians.
What is the formula for gradians to radians?
rad = grad × 0.015708.
What is the reverse — how many gradians in 1 radian?
One radian equals 63.662 gradians.

Related conversions

Radians to Gradians
1 rad = 63.662 grad
Gradians to Degrees
1 grad = 0.9 °
Gradians to Arcminutes
1 grad = 54 arcmin
Gradians to Arcseconds
1 grad = 3,240 arcsec
Degrees to Radians
1 ° = 0.0174533 rad
Arcminutes to Radians
1 arcmin = 0.000290888 rad
Arcseconds to Radians
1 arcsec = 4.8481e-6 rad
Turns to Radians
1 turn = 6.28319 rad
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