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Convert gradians to radians

Convert gradians (gon) to radians (rad). 1 gon = 0.015708 rad, and 1 rad = 63.662 gon.

1 gon = 0.015708 rad

Gradians to Radians formula

rad = gon × π / 200

Multiply the gradians by π and divide by 200.

Example: To convert 1 gon to radians: 1 × π / 200 = 0.015708 rad.

Quick answers

What is 1 gon in radians?
1 gon = 0.015708 rad
What is 100 gon in radians?
100 gon = 1.5708 rad

Gradians to Radians conversion table

Radians to Gradians table
gradians (gon)radians (rad)
1 gon0.015708 rad
10 gon0.15708 rad
50 gon0.785398 rad
100 gon1.5708 rad
200 gon3.14159 rad
300 gon4.71239 rad
400 gon6.28319 rad

Frequently asked questions

How many gradians are in a radian?

There are 63.662 gradians in a radian (1 rad = 63.662 gon), so 1 gon = 0.015708 rad.

How do I convert gradians to radians?

Multiply the gradians by π and divide by 200. To convert 1 gon to radians: 1 × π / 200 = 0.015708 rad.

Is the Gradians to Radians conversion exact?

Yes, by definition, but π is irrational, so every result in decimal form is rounded.

What is 1 gon in radians?

1 gon = 0.015708 rad.

How do I convert radians back to gradians?

Use the reverse relationship: 1 rad = 63.662 gon. The Radians to Gradians page has a converter and a full table.

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