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The arc length of (2/3)×π in a circle, that is the angle in radians, is usually abbreviated as 2π/3 rad, and degrees are commonly written with the degree symbol °.
So, if you have been looking for 2π/3 rad in deg or 2π/3 rad to °, 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, radians to degree measure as well as degrees to radians, and our tool even accepts “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 invert the conversion and calculate degrees to radian measure.
In the next section of this post we discuss the math.
Convert 2π/3 Radians to Degrees
Divide the angle in rad by π, then multiply the term by 180° using the formula deg = ([2π/3] / π) × 180°. Thus, you get (rounded to ten decimal places):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 2π/3 radians in degrees , including the formula and a converter.
Below we continue with more information about the conversion.
2π/3 Rad in Deg
Make sure to check out the additional information regarding the result notation of radians into degrees right below the image.Similar radian to degrees conversions in this category include, for example:
If you want to know more about the units of angle mentioned in this post, then read the articles located in the header menu of this website.
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Ahead are the FAQs in the context.
Frequently Asked Questions
What is 2π/3 radians in terms of pi?
An angle of 2π/3 radians cuts off an arc of length 2π/3r when placed at the center of a circle with the radius r; the relationship with pi can only be determined if the angle in degrees is known: 2π/3 rad = degrees / 180° x pi.
Where is 2π/3 radians on unit circle?
The angle of 2π/3 radians lies in the second quadrant, between pi/2 and pi.
What is the angle measure of 2π/3 radians?
2π/3 exact radians is equal to 2π/3 / π × 180° = 120°.
How many degrees in 2π/3 radians?
2π/3 rad = 2π/3 / π × 180° = 120 degrees.
What’s bigger 2π/3radian or 2π/3 degree?
A circle has a little more than six radians, yet 360 degrees. Thus, 2π/3 radians much bigger than 2π/3 degrees.
What is 2π/3 radians converted to degrees?
2π/3 radians converted to degrees equals 120 degrees.
How to convert 2π/3 radians to degrees?
To convert 2π/3 radians to degrees divide the angle in radians by pi, then multiply the term by 180°: degrees = 2π/3/ π × 180°.
What quadrant is 2π/3 radians?
Because each quadrant has π/2 radians we divide 2π/3 by π/2 = 1.33333333333333, then round this term modulo 4 up to nearest whole number between 1 and 4: 2. Thus, 2π/3 rad lies in the second quadrant.
To see the answers click on the collapsible items.
Next is our chart with angles close to 2π/3 rad and their equivalent in °.
Table
This chart contains angles around 2π/3 rad.| Radians | Degrees |
|---|---|
| 3π/5 = 1.8849555922 rad | 108° |
| 109π/180 = 1.9024088847 rad | 109° |
| 11π/18 = 1.9198621772 rad | 110° |
| 37π/60 = 1.9373154697 rad | 111° |
| 28π/45 = 1.9547687622 rad | 112° |
| 113π/180 = 1.9722220548 rad | 113° |
| 19π/30 = 1.9896753473 rad | 114° |
| 23π/36 = 2.0071286398 rad | 115° |
| 29π/45 = 2.0245819323 rad | 116° |
| 13π/20 = 2.0420352248 rad | 117° |
| 59π/90 = 2.0594885174 rad | 118° |
| 119π/180 = 2.0769418099 rad | 119° |
| 2π/3 = 2.0943951024 rad | 120° |
| 121π/180 = 2.1118483949 rad | 121° |
| 61π/90 = 2.1293016874 rad | 122° |
| 41π/60 = 2.14675498 rad | 123° |
| 31π/45 = 2.1642082725 rad | 124° |
| 25π/36 = 2.181661565 rad | 125° |
| 7π/10 = 2.1991148575 rad | 126° |
| 127π/180 = 2.21656815 rad | 127° |
| 32π/45 = 2.2340214426 rad | 128° |
| 43π/60 = 2.2514747351 rad | 129° |
| 13π/18 = 2.2689280276 rad | 130° |
| 131π/180 = 2.2863813201 rad | 131° |
| 11π/15 = 2.3038346126 rad | 132° |
Summary
You have reached the concluding section of our information about (2/3)×π rad to deg.2π/3 rad = 120°.
The radian measure is the standard unit of measure in the areas of math involving a circle like the sine and cosine function, just to name two trigonometric functions.
Using our calculator, formula and information, you have everything for changing the angle measurement at your disposal.
If you have found our post searching for 2π/3 radian to degrees or a similar term, then you have gotten your answer as well: 2π/3 rad ⇔ 120°.
Additional information
The positive movement of an angle in a circle is a counterclockwise revolution, and the angular measure is indicated in either of these units: rad, deg or grad (gradians).The magnitude in radians tells you how far you have traveled on the arc. Try to remember that whenever you deal with radians or the other circular measure.
More information about the term radian, the entire circle, the diameter as well as the complete revolution can be found in radians to degrees.
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– Article written by Mark, last updated on April 13th, 2021