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10 Degrees in Radians

Welcome to 10 degrees in radians, our post explaining the conversion of this angle from the unit degree to the unit circle frequently used in trigonometric functions.

Skip intro and head directly to the result.


10 degrees are sometimes abbreviated as 10 deg, and using the degree symbol written as 10°. The result in radian can be abbreviated with the unit symbol rad.

So, if you want to calculate 10 deg in rad or 10° to radians, then you are right here, too, because these are two common short forms for the unit transformation under consideration.

In this article you can find everything about it, including the formula and a calculator you don’t want to miss.

Our app can change both, degrees to radians as well as radians to degree, and our tool even accepts “π”, “Π”, “pi”, “Pi” and “PI” as input. Give it a go, now!

Result and Calculator

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You may change the argument in the first field, 10, our tool then does the calculation automatically, without the need to push the blue button.

Fill in the lower field if you like to change an angle in radians such as 10 rad to °.

In the next section of this post we explain the conversion factor π/180°.

Convert 10 Degrees to Radians

Divide the angle in degrees by 180°, then multiply the term by π using this

Formula: rad = ([10°] / 180°) × π.

Thus, the converted angle in radians (rounded to ten decimal places) is:

10° = (1/18)×π rad = 1π/18 rad ≈ 0.1745329252 rad


If you need the outcome with higher accuracy, then make use of our calculator above, or employ a calculator of your own and our formula.

Here’s all about negative 10 degrees in radians, including the formula and a converter.

Below we continue with more information about the conversion of 10 degree.

10 Deg in Rad

Note that ten degrees, 10 degrees of arc, 10 arc degrees, as well as 10 arcdegrees are full spelling variants for 10 °.

Similar conversions in this category include, for example:
If you want to know more about the units of angle mentioned in this page about 10 deg to rad, then read the articles located in the header menu of this site.

Bookmark us now, and then make sure to check out our search form in the menu and sidebar: it’s a very efficient way to locate frequently searched angle equivalents.The FAQs are next.

Frequently Asked Questions

In in connection with this post, here are the FAQs. Do you know the correct answer?

How do you convert 10 degrees to radians?

Divide the degrees by 180°, then multiply the term by π: 10°/180° × π = 1π/18 rad.

What is 10 degrees in radians in terms of pi?

10° in radians = 10°/180° × pi = 1/18 times pi.

How many radians is 10 degrees?

As one full circle of 360 degrees equals 2pi, 10 degrees = 10/360 × 2pi = 1/18 pi rad.

How many π’s is 10 degrees?

10° = 1/18 π.

What is 10 degrees in radians?

10° = 0.1745329252 rad.

What quadrant is 10 degrees?

Because each quadrant has 90 degrees we divide 10° by 90° = 0.1111111111, then round this term modulo 4 up to nearest whole number between 0 and 4: 1. Thus, 10° rad lies in the first quadrant between 0° and 90°.

What’s smaller 10 radian or 10 degrees?

A circle has a little more than 6 radians, yet 360 degrees. Thus, 10 degrees is much smaller than 10 radians.

How do I convert 10 degrees to radians in fraction form?

Rad = 10°/180° × π
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Next is our chart with angles close to 10° and their equivalent in rad.

Table

The following table contains some angles in the context:
DegreesRadians
-2°-1001π/180 = -17.4707458125 rad
-1°-1π/180 = -0.0174532925 rad
0π = 0 rad
1π/180 = 0.0174532925 rad
1π/90 = 0.034906585 rad
1π/60 = 0.0523598776 rad
1π/45 = 0.0698131701 rad
1π/36 = 0.0872664626 rad
1π/30 = 0.1047197551 rad
7π/180 = 0.1221730476 rad
2π/45 = 0.1396263402 rad
1π/20 = 0.1570796327 rad
10°1π/18 = 0.1745329252 rad
11°11π/180 = 0.1919862177 rad
12°1π/15 = 0.2094395102 rad
13°13π/180 = 0.2268928028 rad
14°7π/90 = 0.2443460953 rad
15°1π/12 = 0.2617993878 rad
16°4π/45 = 0.2792526803 rad
17°17π/180 = 0.2967059728 rad
18°1π/10 = 0.3141592654 rad
19°19π/180 = 0.3316125579 rad
20°1π/9 = 0.3490658504 rad
21°7π/60 = 0.3665191429 rad
22°11π/90 = 0.3839724354 rad
In the final part of this article you can find the summary about ten degrees radians as well as some additional information.

Summary

You have reached the concluding section of our information about 10 deg in rad.

10 degrees = 0.1745329252 rad

Using our converter, formula, chart and information, you have everything to convert degrees to radians at your disposal.

If you have found our post searching for ten degrees to radians in terms of pi, or a similar term such as angle to radians, then you have gotten your answer as well: 10° ⇔ 0.1745329252 rad.

The radian measure is the standard unit of measure in the areas of math involving a circle like the sine function and cosine function, just to name a few.

Likewise in science, mathematical computations involving the angle of circle of some sort are hardly ever calculated in degrees.

Conversely, in plane geometry an angle in a circle or in a triangle is more likely to expressed in °.

Additional information

Last, but not least, here are some supplementary information related to the degree measurement and conversion:

The positive movement of an angle in a circle is a counterclockwise revolution, and the angular measure is indicated in either of these units: deg, rad or grad.

The angle in degrees indicates how far you have tilted your head, whereas the angle in radians tells you how far you have traveled on the arc.

Calculations in radians are said to be easier, though. At least once you got the hang of it.

Typical usage for angles in radians include the sine function and cosine function, whereas the angle in a triangle is usually denoted in degree.

More information about radians & degrees, the entire circle including the radius, the circumference as well as the the definition of radian as ratio can be found in our article degrees to radians.

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– Article written by Mark, last updated on April 13th, 2021