Gradians to Radians

Convert grad to rad instantly — with a table, common angle values, and a live calculator.

1 grad equals 0.0157 rad.

Updated June 3, 2026Open the Unit Converter →

Convert any angle

Angle (grad)

Result (rad)0.0157 rad

grad to rad table

grad	rad
1 grad	0.0157 rad
2 grad	0.0314 rad
3 grad	0.0471 rad
5 grad	0.0785 rad
10 grad	0.157 rad
15 grad	0.236 rad
20 grad	0.314 rad
30 grad	0.471 rad
45 grad	0.707 rad
60 grad	0.942 rad
90 grad	1.41 rad
120 grad	1.88 rad
135 grad	2.12 rad
150 grad	2.36 rad
180 grad	2.83 rad
270 grad	4.24 rad
360 grad	5.65 rad
400 grad	6.28 rad
500 grad	7.85 rad
720 grad	11.31 rad
1000 grad	15.71 rad
3600 grad	56.55 rad

rad to grad (reverse)

rad	grad
1 rad	63.66 grad
2 rad	127.32 grad
3 rad	190.99 grad
5 rad	318.31 grad
10 rad	636.62 grad
15 rad	954.93 grad
20 rad	1273.24 grad
30 rad	1909.86 grad
45 rad	2864.79 grad
60 rad	3819.72 grad
90 rad	5729.58 grad
120 rad	7639.44 grad
135 rad	8594.37 grad
150 rad	9549.3 grad
180 rad	11459.16 grad
270 rad	17188.73 grad
360 rad	22918.31 grad
400 rad	25464.79 grad
500 rad	31830.99 grad
720 rad	45836.62 grad
1000 rad	63661.98 grad
3600 rad	229183.12 grad

Common angle values

grad	rad
15 grad	0.236 rad
30 grad	0.471 rad
45 grad	0.707 rad
60 grad	0.942 rad
90 grad	1.41 rad
120 grad	1.88 rad
135 grad	2.12 rad
180 grad	2.83 rad
270 grad	4.24 rad
360 grad	5.65 rad
720 grad	11.31 rad
1000 grad	15.71 rad

How it scales

1 turn (360°) in other units

The ratio at a glance

Degrees, radians, and gradians — the key angle units

The degree (°) divides the full circle into 360 parts and is the everyday unit in geometry and navigation. The radian (rad) is the standard mathematical unit: 180° = π rad, so 1 rad ≈ 57.2958°. The gradian (gon) divides the circle into 400 parts, so one full turn is 400 grad = 360° and 1 grad = 0.9° — common in surveying because a right angle is exactly 100 grad.

For very small angles the degree is subdivided further: 1° = 60 arcminutes (′) and 1 arcminute = 60 arcseconds (″), so 1° = 3,600 arcseconds — used in astronomy and navigation. A turn describes one full circle (360°). For more unit pairs, use our angle conversion hub.

Related conversions

Radians to Gradians

Degrees to Radians

Radians to Degrees

Degrees to Gradians

Gradians to Degrees

Frequently asked questions

How many rad are in 1 grad?

1 grad equals 0.0157 rad.

How many rad are in 2 grad?

2 grad equal 0.0314 rad.

How do I convert grad to rad?

Divide the angle in grad by 63.66 to get rad.

How are degrees and radians related?

A full circle spans 2π radians or 360°, so 180° = π rad. From this: 1 rad = 180/π ≈ 57.2958° and 1° = π/180 ≈ 0.0175 rad. The factor π appears because the radian is defined from the circle's arc length.

What are these angle units used for?

Degrees (°) are the everyday unit in geometry and navigation. Radians (rad) are the standard mathematical unit, especially in trigonometry and physics. Gradians (gon) are used in surveying, while arcminutes and arcseconds express very small angles in astronomy and navigation. A turn describes one full circle (360°).

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Gradians to Radians

Convert grad to rad instantly — with a table, common angle values, and a live calculator.

1 grad equals 0.0157 rad.

Updated June 3, 2026Open the Unit Converter →

Convert any angle

Angle (grad)

Result (rad)0.0157 rad

grad to rad table

grad	rad
1 grad	0.0157 rad
2 grad	0.0314 rad
3 grad	0.0471 rad
5 grad	0.0785 rad
10 grad	0.157 rad
15 grad	0.236 rad
20 grad	0.314 rad
30 grad	0.471 rad
45 grad	0.707 rad
60 grad	0.942 rad
90 grad	1.41 rad
120 grad	1.88 rad
135 grad	2.12 rad
150 grad	2.36 rad
180 grad	2.83 rad
270 grad	4.24 rad
360 grad	5.65 rad
400 grad	6.28 rad
500 grad	7.85 rad
720 grad	11.31 rad
1000 grad	15.71 rad
3600 grad	56.55 rad

rad to grad (reverse)

rad	grad
1 rad	63.66 grad
2 rad	127.32 grad
3 rad	190.99 grad
5 rad	318.31 grad
10 rad	636.62 grad
15 rad	954.93 grad
20 rad	1273.24 grad
30 rad	1909.86 grad
45 rad	2864.79 grad
60 rad	3819.72 grad
90 rad	5729.58 grad
120 rad	7639.44 grad
135 rad	8594.37 grad
150 rad	9549.3 grad
180 rad	11459.16 grad
270 rad	17188.73 grad
360 rad	22918.31 grad
400 rad	25464.79 grad
500 rad	31830.99 grad
720 rad	45836.62 grad
1000 rad	63661.98 grad
3600 rad	229183.12 grad

Common angle values

grad	rad
15 grad	0.236 rad
30 grad	0.471 rad
45 grad	0.707 rad
60 grad	0.942 rad
90 grad	1.41 rad
120 grad	1.88 rad
135 grad	2.12 rad
180 grad	2.83 rad
270 grad	4.24 rad
360 grad	5.65 rad
720 grad	11.31 rad
1000 grad	15.71 rad

How it scales

1 turn (360°) in other units

The ratio at a glance

Degrees, radians, and gradians — the key angle units

Related conversions

Radians to Gradians

Degrees to Radians

Radians to Degrees

Degrees to Gradians

Gradians to Degrees

Frequently asked questions

How many rad are in 1 grad?

1 grad equals 0.0157 rad.

How many rad are in 2 grad?

2 grad equal 0.0314 rad.

How do I convert grad to rad?

Divide the angle in grad by 63.66 to get rad.

How are degrees and radians related?

What are these angle units used for?

Convert any unit

The unit converter handles length, volume, weight, and more.

Open Unit Converter →

Was this helpful?