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Convert Gradians to Radians

Gradians to Radians conversion table

Gradians (grad)Radians (rad)
1 grad0.015708 rad
2 grad0.031416 rad
5 grad0.07854 rad
10 grad0.15708 rad
25 grad0.392699 rad
50 grad0.785398 rad
100 grad1.570796 rad
200 grad3.141592 rad
500 grad7.853979 rad
1000 grad15.707958 rad

How to convert gradians to radians

The grad-to-rad conversion appears often when working with angle data across different unit systems. Angle conversions connect degrees (everyday use), radians (mathematics and physics), and gradians (used in some surveying applications).

Formula: Multiply the gradians value by 0.015708. In equation form: rad = grad × 0.015708.

One gradians equals approximately 0.015708 rad. This means you can multiply any grad value by 0.015708 to get the equivalent in rad.

For instance, converting 25 grad gives 0.392699 rad. Try different values using the quick-value chips or type directly into the input field.

Common mistake: When converting to radians for trigonometry, make sure your calculator is in the correct angle mode (degrees vs. radians).

Bookmark this page for quick grad to rad conversions, or use the swap button to reverse the direction and convert rad back to grad.

Related conversions

Radians to Gradians

Frequently asked questions

1 grad equals 0.015708 rad.

Multiply the gradians value by 0.015708.

10 grad = 0.15708 rad.