Radians to Gradians

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

1 rad equals 63.66 grad.

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Result (grad)63.66 grad

rad to grad table

radgrad
1 rad63.66 grad
2 rad127.32 grad
3 rad190.99 grad
5 rad318.31 grad
10 rad636.62 grad
15 rad954.93 grad
20 rad1273.24 grad
30 rad1909.86 grad
45 rad2864.79 grad
60 rad3819.72 grad
90 rad5729.58 grad
120 rad7639.44 grad
135 rad8594.37 grad
150 rad9549.3 grad
180 rad11459.16 grad
270 rad17188.73 grad
360 rad22918.31 grad
400 rad25464.79 grad
500 rad31830.99 grad
720 rad45836.62 grad
1000 rad63661.98 grad
3600 rad229183.12 grad

grad to rad (reverse)

gradrad
1 grad0.0157 rad
2 grad0.0314 rad
3 grad0.0471 rad
5 grad0.0785 rad
10 grad0.157 rad
15 grad0.236 rad
20 grad0.314 rad
30 grad0.471 rad
45 grad0.707 rad
60 grad0.942 rad
90 grad1.41 rad
120 grad1.88 rad
135 grad2.12 rad
150 grad2.36 rad
180 grad2.83 rad
270 grad4.24 rad
360 grad5.65 rad
400 grad6.28 rad
500 grad7.85 rad
720 grad11.31 rad
1000 grad15.71 rad
3600 grad56.55 rad

Common angle values

radgrad
15 rad954.93 grad
30 rad1909.86 grad
45 rad2864.79 grad
60 rad3819.72 grad
90 rad5729.58 grad
120 rad7639.44 grad
135 rad8594.37 grad
180 rad11459.16 grad
270 rad17188.73 grad
360 rad22918.31 grad
720 rad45836.62 grad
1000 rad63661.98 grad

How it scales

15923183477563660255075100rad

1 turn (360°) in other units

360deg6.28rad400grad

The ratio at a glance

1 rad63.66 grad

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.

Frequently asked questions

How many grad are in 1 rad?

1 rad equals 63.66 grad.

How many grad are in 2 rad?

2 rad equal 127.32 grad.

How do I convert rad to grad?

Multiply the angle in rad by 63.66 to get grad.

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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