Angle Converter
Convert angular measurements between degrees, radians, and gradians.. Use this smart bidirectional calculator to convert between different angle measurements instantly. See live results, calculation history, and exact formulas.
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Angle Converter
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Formula
rad = ° × 0.017453293
To convert Degree to Radian, use the formula displayed above.
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Recent History
Conversions you copy will be recorded here.
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How to Convert Angle Units
To perform a conversion, look up the target unit's conversion factor relative to the base unit (degree). Below are the exact mathematical formulas for the most common angle unit pairs:
Degree to Radian
rad = ° × 0.017453293 Radian to Degree
° = rad × 57.295779513 Degree to Gradian
grad = ° × 1.111111111 Degree to Radian
rad = ° × 0.017453293 Angle Unit Conversion Charts
Here are the standard reference conversion charts displaying values from 1 to 20 for the most popular unit conversions:
° to rad
| ° | rad |
|---|---|
| 1 | 0.017453 |
| 2 | 0.034907 |
| 3 | 0.05236 |
| 4 | 0.069813 |
| 5 | 0.087266 |
| 6 | 0.10472 |
| 7 | 0.122173 |
| 8 | 0.139626 |
| 9 | 0.15708 |
| 10 | 0.174533 |
| 11 | 0.191986 |
| 12 | 0.20944 |
| 13 | 0.226893 |
| 14 | 0.244346 |
| 15 | 0.261799 |
| 16 | 0.279253 |
| 17 | 0.296706 |
| 18 | 0.314159 |
| 19 | 0.331613 |
| 20 | 0.349066 |
rad to °
| rad | ° |
|---|---|
| 1 | 57.29578 |
| 2 | 114.591559 |
| 3 | 171.887339 |
| 4 | 229.183118 |
| 5 | 286.478898 |
| 6 | 343.774677 |
| 7 | 401.070457 |
| 8 | 458.366236 |
| 9 | 515.662016 |
| 10 | 572.957795 |
| 11 | 630.253575 |
| 12 | 687.549354 |
| 13 | 744.845134 |
| 14 | 802.140913 |
| 15 | 859.436693 |
| 16 | 916.732472 |
| 17 | 974.028252 |
| 18 | 1031.324031 |
| 19 | 1088.619811 |
| 20 | 1145.91559 |
° to grad
| ° | grad |
|---|---|
| 1 | 1.111111 |
| 2 | 2.222222 |
| 3 | 3.333333 |
| 4 | 4.444444 |
| 5 | 5.555556 |
| 6 | 6.666667 |
| 7 | 7.777778 |
| 8 | 8.888889 |
| 9 | 10 |
| 10 | 11.111111 |
| 11 | 12.222222 |
| 12 | 13.333333 |
| 13 | 14.444444 |
| 14 | 15.555556 |
| 15 | 16.666667 |
| 16 | 17.777778 |
| 17 | 18.888889 |
| 18 | 20 |
| 19 | 21.111111 |
| 20 | 22.222222 |
° to rad
| ° | rad |
|---|---|
| 1 | 0.017453 |
| 2 | 0.034907 |
| 3 | 0.05236 |
| 4 | 0.069813 |
| 5 | 0.087266 |
| 6 | 0.10472 |
| 7 | 0.122173 |
| 8 | 0.139626 |
| 9 | 0.15708 |
| 10 | 0.174533 |
| 11 | 0.191986 |
| 12 | 0.20944 |
| 13 | 0.226893 |
| 14 | 0.244346 |
| 15 | 0.261799 |
| 16 | 0.279253 |
| 17 | 0.296706 |
| 18 | 0.314159 |
| 19 | 0.331613 |
| 20 | 0.349066 |
Every Angle Unit, Explained
Angle conversion covers 5 units. Below is a plain-English definition of each one and where you'll actually meet it in daily life.
Degree (°)
A degree is 1/360 of a full rotation.
Used for: Geometry, navigation, roof pitches, and everyday angle measurement.
Radian (rad)
A radian is the angle subtended by an arc equal to the circle's radius; a full circle is 2π radians.
Used for: Calculus, physics, and programming trigonometry functions.
Gradian (grad)
A gradian divides a right angle into 100 grads, so a full circle is 400 grads.
Used for: Surveying and some European engineering fields.
Arcminute (arcmin)
An arcminute is 1/60 of a degree.
Used for: Astronomy (apparent sizes), optics, and navigation.
Arcsecond (arcsec)
An arcsecond is 1/3,600 of a degree.
Used for: Astronomical measurements of star positions and telescope resolution.
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Angle Converter FAQs
What is a Angle converter?
A Angle converter is a free online utility that transforms a measurement expressed in one unit of angle into its equivalent in another, such as converting Degree to Radian.
How do you convert angle units?
To convert angle units, choose your from-unit and to-unit from the dropdown list in the tool above, then enter the value you wish to convert. The tool computes the result live in real time using exact SI conversion factor formulas.
What are the most popular angle conversions?
The most frequently performed angle conversions on our site are Degree to Radian, Radian to Degree, Degree to Gradian. Our tool pre-calculates full charts and formulas for all of them.
Which angle units are supported?
We support all standard global SI (metric) and imperial units including Degree (°), Radian (rad), Gradian (grad), Arcminute (arcmin), Arcsecond (arcsec).
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