Online calculator to convert radians to degrees (rad to deg) with formulas, examples, and tables. Our conversions provide a quick and easy way to convert between Angle units.
Conversion Calculator
Enter your value in the conversion calculator below.
Convert rad to deg
TIP: If the result of your conversion is 0, try increasing the "Decimals".
Conversion Definitions
The following is a list of definitions relating to conversions between radians and degrees.
What is a radian (rad)?
A radian is a unit of angular measure in the International System of Units (SI). The symbol for radian is rad. There are 0.01745 radians in a degree.
What is a degree (deg or °)?
A degree is a non-SI unit of angular measure. The symbol for degree is deg or °. There are 57.2957795130823 degrees in a radian.
Conversion Formula
Let's take a closer look at the conversion formula so that you can do these conversions yourself with a calculator or with an old-fashioned pencil and paper.
The formula to convert from rad to deg is:
degrees = radians x 180°/π
Conversion Example
Next, let's look at an example showing the work and calculations that are involved in converting from radians to degrees (rad to deg).
Radian to Degree Conversion Example
Task: Convert 5 radians to degrees (show work) Formula: radians x 180°/π = degrees Calculations: 5 radians x 180°/π = 286.479 degrees Result: 5 radians is equal to 286.479 degrees
Conversion Table
For quick reference purposes, below is a conversion table that you can use to convert from rad to deg.
Radians to Degrees Conversion Chart
radians (rad) | degrees (deg) |
---|---|
1 rad | 57.296 deg |
2 rad | 114.592 deg |
3 rad | 171.887 deg |
4 rad | 229.183 deg |
5 rad | 286.479 deg |
6 rad | 343.775 deg |
7 rad | 401.07 deg |
8 rad | 458.366 deg |
9 rad | 515.662 deg |
10 rad | 572.958 deg |
20 rad | 1,145.916 deg |
30 rad | 1,718.873 deg |
40 rad | 2,291.831 deg |
50 rad | 2,864.789 deg |
75 rad | 4,297.183 deg |
100 rad | 5,729.578 deg |
250 rad | 14,323.945 deg |
500 rad | 28,647.89 deg |
750 rad | 42,971.835 deg |
1,000 rad | 57,295.78 deg |
2,500 rad | 143,239.449 deg |
5,000 rad | 286,478.898 deg |
7,500 rad | 429,718.346 deg |
10,000 rad | 572,957.795 deg |
25,000 rad | 1,432,394.488 deg |
50,000 rad | 2,864,788.976 deg |
75,000 rad | 4,297,183.463 deg |
100,000 rad | 5,729,577.951 deg |
250,000 rad | 14,323,944.878 deg |
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