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Gradians to Radians Converter

Free instant grad → rad converter. No signup, no uploads — everything is calculated privately in your browser.

Value

From

1 grad = 0.015708 radians

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Quick Answer

1 gradian equals 0.015708 radians. To convert gradians to radians, multiply the value by this factor.

Key Facts

Reverse: 1 radian = 63.662 gradians.

Gradians to Radians Formula

Formula: value ÷ 63.662

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Gradians to Radians Conversion Table

Gradians (grad)	Radians (rad)
1 grad	0.015708 rad
2 grad	0.0314159 rad
5 grad	0.0785398 rad
10 grad	0.15708 rad
25 grad	0.392699 rad
50 grad	0.785398 rad
100 grad	1.5708 rad
250 grad	3.92699 rad
500 grad	7.85398 rad
1,000 grad	15.708 rad

Frequently Asked Questions

How do I convert gradians to radians?

Enter the value above and the result appears instantly — the calculation runs entirely in your browser. Formula: value ÷ 63.662.

What is the exact gradians to radians conversion factor?

1 gradian = 0.015708 radians (shown to 6 significant figures — the converter itself computes at full precision). The reverse factor is 1 radian = 63.662 gradians.

What are some common gradians to radians conversions?

1 grad = 0.015708 rad; 10 grad = 0.15708 rad; 100 grad = 1.5708 rad. Use the full conversion table below for more reference values.

Why are there 400 gradians in a circle instead of 360 degrees?

The gradian was defined during the French metrication effort so a right angle equals exactly 100 gradians, making a full turn 400 — nicer for decimal math, less aligned with astronomy and timekeeping (360 divides evenly by 2, 3, 4, 5, 6, 8, 9, 10, 12…). Engineering in most countries still uses degrees; gradians survive mainly in surveying and some European calculators.

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