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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.

Angle Converter

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Formula

rad = ° × 0.017453293

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

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

Recent History

Conversions you copy will be recorded here.

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
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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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