Turns to Radians

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

1 turns equals 6.28 rad.

Updated June 3, 2026Open the Unit Converter →

Convert any angle

Angle (turns)

Result (rad)6.28 rad

turns to rad table

turns	rad
1 turns	6.28 rad
2 turns	12.57 rad
3 turns	18.85 rad
5 turns	31.42 rad
10 turns	62.83 rad
15 turns	94.25 rad
20 turns	125.66 rad
30 turns	188.5 rad
45 turns	282.74 rad
60 turns	376.99 rad
90 turns	565.49 rad
120 turns	753.98 rad
135 turns	848.23 rad
150 turns	942.48 rad
180 turns	1130.97 rad
270 turns	1696.46 rad
360 turns	2261.95 rad
400 turns	2513.27 rad
500 turns	3141.59 rad
720 turns	4523.89 rad
1000 turns	6283.19 rad
3600 turns	22619.47 rad

rad to turns (reverse)

rad	turns
1 rad	0.159 turns
2 rad	0.318 turns
3 rad	0.477 turns
5 rad	0.796 turns
10 rad	1.59 turns
15 rad	2.39 turns
20 rad	3.18 turns
30 rad	4.77 turns
45 rad	7.16 turns
60 rad	9.55 turns
90 rad	14.32 turns
120 rad	19.1 turns
135 rad	21.49 turns
150 rad	23.87 turns
180 rad	28.65 turns
270 rad	42.97 turns
360 rad	57.3 turns
400 rad	63.66 turns
500 rad	79.58 turns
720 rad	114.59 turns
1000 rad	159.15 turns
3600 rad	572.96 turns

Common angle values

turns	rad
15 turns	94.25 rad
30 turns	188.5 rad
45 turns	282.74 rad
60 turns	376.99 rad
90 turns	565.49 rad
120 turns	753.98 rad
135 turns	848.23 rad
180 turns	1130.97 rad
270 turns	1696.46 rad
360 turns	2261.95 rad
720 turns	4523.89 rad
1000 turns	6283.19 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 Turns

Degrees to Radians

Radians to Degrees

Degrees to Gradians

Gradians to Degrees

Frequently asked questions

How many rad are in 1 turns?

1 turns equals 6.28 rad.

How many rad are in 2 turns?

2 turns equal 12.57 rad.

How do I convert turns to rad?

Multiply the angle in turns by 6.28 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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Turns to Radians

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

1 turns equals 6.28 rad.

Updated June 3, 2026Open the Unit Converter →

Convert any angle

Angle (turns)

Result (rad)6.28 rad

turns to rad table

turns	rad
1 turns	6.28 rad
2 turns	12.57 rad
3 turns	18.85 rad
5 turns	31.42 rad
10 turns	62.83 rad
15 turns	94.25 rad
20 turns	125.66 rad
30 turns	188.5 rad
45 turns	282.74 rad
60 turns	376.99 rad
90 turns	565.49 rad
120 turns	753.98 rad
135 turns	848.23 rad
150 turns	942.48 rad
180 turns	1130.97 rad
270 turns	1696.46 rad
360 turns	2261.95 rad
400 turns	2513.27 rad
500 turns	3141.59 rad
720 turns	4523.89 rad
1000 turns	6283.19 rad
3600 turns	22619.47 rad

rad to turns (reverse)

rad	turns
1 rad	0.159 turns
2 rad	0.318 turns
3 rad	0.477 turns
5 rad	0.796 turns
10 rad	1.59 turns
15 rad	2.39 turns
20 rad	3.18 turns
30 rad	4.77 turns
45 rad	7.16 turns
60 rad	9.55 turns
90 rad	14.32 turns
120 rad	19.1 turns
135 rad	21.49 turns
150 rad	23.87 turns
180 rad	28.65 turns
270 rad	42.97 turns
360 rad	57.3 turns
400 rad	63.66 turns
500 rad	79.58 turns
720 rad	114.59 turns
1000 rad	159.15 turns
3600 rad	572.96 turns

Common angle values

turns	rad
15 turns	94.25 rad
30 turns	188.5 rad
45 turns	282.74 rad
60 turns	376.99 rad
90 turns	565.49 rad
120 turns	753.98 rad
135 turns	848.23 rad
180 turns	1130.97 rad
270 turns	1696.46 rad
360 turns	2261.95 rad
720 turns	4523.89 rad
1000 turns	6283.19 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 Turns

Degrees to Radians

Radians to Degrees

Degrees to Gradians

Gradians to Degrees

Frequently asked questions

How many rad are in 1 turns?

1 turns equals 6.28 rad.

How many rad are in 2 turns?

2 turns equal 12.57 rad.

How do I convert turns to rad?

Multiply the angle in turns by 6.28 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?