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Gradians to Radians Converter

Convert gradians to radians and radians to gradians instantly. Bidirectional angle converter with formula and common values.

Gradians to Radians: 1 grad equals 0.015708 rad. To convert gradians to radians, multiply by 0.015708 (rad = grad × 0.015708). For example, 10 grad = 0.15708 rad.

100 grad = 1.571 rad

rad = grad × 0.015708

How to Convert Gradians to Radians

To convert from gradians to radians, multiply the value by 0.015708. The conversion is linear, meaning doubling the input doubles the output.

Conversion Formula

  • Gradians to Radians: rad = grad × 0.015708
  • Radians to Gradians: grad = rad ÷ 0.015708
Gradians to Radians conversion scale — a dual ruler showing 1 grad equals .0157 rad.
Gradians to Radians conversion scale (grad to rad).

Gradians to Radians Conversion Chart

Gradians (grad)Radians (rad)
0.10.001571
0.250.003927
0.50.007854
10.015708
20.031416
30.047124
50.07854
100.15708
200.31416
250.3927
500.7854
1001.5708
2503.927
100015.708

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FAQ

How do I convert gradians to radians?

Multiply the gradian value by π/200 (approximately 0.015708). For example, 100 grad = 1.5708 rad (π/2).

How many radians are in 400 gradians?

400 gradians equals 2π radians (approximately 6.2832), which is a full circle.

Are gradians the same as degrees?

No. A right angle is 90 degrees but 100 gradians. A full circle is 360 degrees but 400 gradians.

How many radians are in 1 gradian?

1 grad equals 0.015708 rad.

How do you convert gradians to radians?

Multiply the gradian value by 0.015708. Formula: rad = grad × 0.015708.

How many radians are in 5 gradians?

5 grad = 0.07854 rad.

How do you convert radians back to gradians?

Use the inverse formula: grad = rad ÷ 0.015708. For example, 1 rad = 63.661828 grad.