Gradian to Radian Converter — Angle Units

Convert Gradian to Radian instantly with accurate angle unit conversion. Learn what they mean, where they’re used, and see examples.

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What is a Gradian?

A gradian (or gon) divides a circle into 400 parts. It's used in some engineering and surveying applications due to its base-10 relation.

What is a Radian?

A radian is the standard SI unit of angular measure, defined as the angle formed when the arc length equals the radius. One full rotation is 2π radians.

Conversion Formula

To convert Gradian to Radian, use the formula:

Radian = Gradian × (1.5707963268e-2 / 1.0000000000e+0)

This formula works by converting Gradian into radians as the base unit, then converting that result into Radian. It ensures high-precision conversion.

Example: Convert 10 Gradian to Radian:
10 × (1.570796e-2 ÷ 1.000000e+0) = 0.1570796327 Radian

Common Gradian to Radian Conversions

GradianRadian
1.00000 Gradian
0.01570796327 Radian
11.0000 Gradian
0.1727875959 Radian
21.0000 Gradian
0.3298672286 Radian
31.0000 Gradian
0.4869468613 Radian
41.0000 Gradian
0.6440264940 Radian
51.0000 Gradian
0.8011061267 Radian
61.0000 Gradian
0.9581857593 Radian
71.0000 Gradian
1.115265392 Radian
81.0000 Gradian
1.272345025 Radian
91.0000 Gradian
1.429424657 Radian
101.000 Gradian
1.586504290 Radian
111.000 Gradian
1.743583923 Radian
121.000 Gradian
1.900663555 Radian
131.000 Gradian
2.057743188 Radian
141.000 Gradian
2.214822821 Radian
151.000 Gradian
2.371902453 Radian
161.000 Gradian
2.528982086 Radian
171.000 Gradian
2.686061719 Radian
181.000 Gradian
2.843141351 Radian
191.000 Gradian
3.000220984 Radian

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