radians to gradians | Exact Decimal + Formula

1 Radian = 63.661977 Gradian

One radian equals about 63.7 gradians (exactly 63.66197724 grad). Real-world use: calculus, physics, and programming trigonometry functions. This page expresses those values in gradians, which is used for surveying and some european engineering fields. Enter any value above — the result updates instantly, and a 1–1000 reference table follows below.

About Radian and Gradian

Radian (rad)

A radian is the angle subtended by an arc equal to the circle's radius; a full circle is 2π radians.

Where it's used: Calculus, physics, and programming trigonometry functions.

Gradian (grad)

A gradian divides a right angle into 100 grads, so a full circle is 400 grads.

Where it's used: Surveying and some European engineering fields.

Angle Converter

From

Tab Switch fieldsS SwapC Copy

Precision

Formula

grad = rad × 63.661977237

To convert Radian to Gradian, use the formula displayed above.

Pinned Favorites

No pinned converters yet. Click the star button to pin common pairs.

Recent History

Conversions you copy will be recorded here.

Radian to Gradian: Quick Reference Table

Radian	Gradian (Decimal)	Fraction	Real-world equivalent
0.001 rad	0.063662 grad	-	fractional unit measurement
0.01 rad	0.63662 grad	-	fractional unit measurement
0.1 rad	6.366198 grad	-	standard single unit scale
0.5 rad	31.830989 grad	-	multiple unit increments
1 rad	63.661977 grad	-	multiple unit increments
2 rad	127.323954 grad	-	multiple unit increments
5 rad	318.309886 grad	-	multiple unit increments
10 rad	636.619772 grad	-	multiple unit increments
25 rad	1591.549431 grad	-	multiple unit increments
50 rad	3183.098862 grad	-	multiple unit increments
100 rad	6366.197724 grad	-	multiple unit increments
250 rad	15915.494309 grad	-	multiple unit increments
500 rad	31830.988618 grad	-	multiple unit increments
1000 rad	63661.977237 grad	-	multiple unit increments

rad to grad Formula and Examples

Direct Formula grad = rad × 63.661977237

Inverse Formula rad = grad × 0.015708

Mental Math Shortcut

Multiply the value by roughly 63.7 to calculate the equivalent amount in your head.

Common Radian to Gradian Calculations

5 rad = 318.309886 grad
10 rad = 636.619772 grad
50 rad = 3183.098862 grad
100 rad = 6366.197724 grad
500 rad = 31830.988618 grad

Precision & Practical Use

For example, 10 rad = 636.619772 grad — roughly multiple unit increments.

Results are computed to up to 9 decimal places. Round to the precision of your measuring instrument — for most angle applications, 2–3 significant figures are plenty.

How to Convert Radian to Gradian

How many gradians are in one radian?

One Radian (rad) equals 63.661977 Gradian (grad). To convert radians to gradians, multiply the radian value by 63.661977.

How do I convert Radian to Gradian?

Multiply your radian value by 63.661977 to get the result in Gradian: grad = rad × 63.661977. For example, 5 rad = 318.309886 grad.

What is the formula for converting rad to grad?

The conversion formula is grad = rad × 63.661977. Use the calculator above for any value, and see the reference table below for common inputs from 0.001 to 1000.

Is there a quick mental estimate for rad to grad?