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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!
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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 thisFormula: rad = ([10°] / 180°) × π.
Thus, the converted angle in radians (rounded to ten decimal places) is:
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.
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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:Degrees | Radians |
---|---|
-2° | -1001π/180 = -17.4707458125 rad |
-1° | -1π/180 = -0.0174532925 rad |
0° | 0π = 0 rad |
1° | 1π/180 = 0.0174532925 rad |
2° | 1π/90 = 0.034906585 rad |
3° | 1π/60 = 0.0523598776 rad |
4° | 1π/45 = 0.0698131701 rad |
5° | 1π/36 = 0.0872664626 rad |
6° | 1π/30 = 0.1047197551 rad |
7° | 7π/180 = 0.1221730476 rad |
8° | 2π/45 = 0.1396263402 rad |
9° | 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 |
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