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Convert Angle from Degree to Radian (deg to rad)
Multiple conversions

Multiple conversions

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degree to radian Conversion FormulaExampleWhat is a degree (deg)?What is a radian (rad)?What is the International System of Units (SI)?degree to radian Conversion Table

degree to radian Conversion Formula

To convert from degree (deg) to radian (rad), use the following formula:

 radian (rad)\textbf{ radian} \text{ (rad)}

=π180× degree (deg)= \frac{π}{180}\times \textbf{ degree} \text{ (deg)}

=0.017453292519943294444× degree (deg)= 0.017453292519943294444\times \textbf{ degree} \text{ (deg)}

Example

Let's convert 5 degree (deg) to radian (rad).

Using the formula:

5×0.017453292519943294444=0.087266462599716472225 \times 0.017453292519943294444 = 0.08726646259971647222

Therefore, 5 degree (deg) is equal to 0.087266462599716472220.08726646259971647222 radian (rad).

What is a degree (deg)?

A degree (deg) is a base unit of angle in the International System of Units (SI). The plural form is degrees.

What is a radian (rad)?

A radian (rad) is a unit of angle in the International System of Units (SI), equal to 57.29577951308232 (or 180/π) degrees (deg). The plural form is radians.

What is the International System of Units (SI)?

The International System of Units (SI) is the modern form of the metric system and the most widely used system of measurement in the world. It is founded on seven fundamental units: the second (time), meter (length), kilogram (mass), ampere (electric current), kelvin (thermodynamic temperature), mole (amount of substance), and candela (luminous intensity).

degree to radian Conversion Table

Here are some quick reference conversions from degree (deg) to radian (rad):

degreesradians
0.000001 deg1.7453292519943294444×10−81.7453292519943294444\times 10^{-8} rad
0.001 deg0.0000174532925199432944440.000017453292519943294444 rad
0.1 deg0.00174532925199432944440.0017453292519943294444 rad
1 deg0.0174532925199432944440.017453292519943294444 rad
2 deg0.0349065850398865888880.034906585039886588888 rad
3 deg0.0523598775598298833320.052359877559829883332 rad
4 deg0.0698131700797731777760.069813170079773177776 rad
5 deg0.087266462599716472220.08726646259971647222 rad
6 deg0.104719755119659766660.10471975511965976666 rad
7 deg0.122173047639603061110.12217304763960306111 rad
8 deg0.139626340159546355550.13962634015954635555 rad
9 deg0.157079632679489650.15707963267948965 rad
10 deg0.174532925199432944440.17453292519943294444 rad
20 deg0.349065850398865888880.34906585039886588888 rad
30 deg0.523598775598298833320.52359877559829883332 rad
40 deg0.698131700797731777760.69813170079773177776 rad
50 deg0.87266462599716472220.8726646259971647222 rad
100 deg1.74532925199432944441.7453292519943294444 rad
1000 deg17.45329251994329444417.453292519943294444 rad
10000 deg174.53292519943294444174.53292519943294444 rad

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deg to rad | Convert degree to radian | Multiple Conversions