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The arc length of (23/30)×π in a circle, that is the angle in radians, is usually abbreviated as 23pi/30 rad, and degrees are commonly written with the degree symbol °.
So, if you have been looking for 23pi/30 rad in deg or 23pi/30 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 “pi”, “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 23pi/30 Radians to Degrees
Divide the angle in rad by pi, then multiply the term by 180° using the formula deg = ([23pi/30] / pi) × 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 23pi/30 radians in degrees , including the formula and a converter.
Below we continue with more information about the conversion.
23pi/30 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:
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Ahead are the FAQs in the context.
Frequently Asked Questions
What is 23pi/30 radians in terms of pi?
An angle of 23pi/30 radians cuts off an arc of length 23pi/30r 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: 23pi/30 rad = degrees / 180° x pi.
Where is 23pi/30 radians on unit circle?
The angle of 23pi/30 radians lies in the second quadrant, between pi/2 and pi.
What is the angle measure of 23pi/30 radians?
23pi/30 exact radians is equal to 23pi/30 / pi × 180° = 138°.
How many degrees in 23pi/30 radians?
23pi/30 rad = 23pi/30 / pi × 180° = 138 degrees.
What’s bigger 23pi/30radian or 23pi/30 degree?
A circle has a little more than six radians, yet 360 degrees. Thus, 23pi/30 radians much bigger than 23pi/30 degrees.
What is 23pi/30 radians converted to degrees?
23pi/30 radians converted to degrees equals 138 degrees.
How to convert 23pi/30 radians to degrees?
To convert 23pi/30 radians to degrees divide the angle in radians by pi, then multiply the term by 180°: degrees = 23pi/30/ pi × 180°.
What quadrant is 23pi/30 radians?
Because each quadrant has pi/2 radians we divide 23pi/30 by pi/2 = 1.53333333333333, then round this term modulo 4 up to nearest whole number between 1 and 4: 2. Thus, 23pi/30 rad lies in the second quadrant.
To see the answers click on the collapsible items.
Next is our chart with angles close to 23pi/30 rad and their equivalent in °.
Table
This chart contains angles around 23pi/30 rad.| Radians | Degrees |
|---|---|
| 7pi/10 = 2.1991148575 rad | 126° |
| 127pi/180 = 2.21656815 rad | 127° |
| 32pi/45 = 2.2340214426 rad | 128° |
| 43pi/60 = 2.2514747351 rad | 129° |
| 13pi/18 = 2.2689280276 rad | 130° |
| 131pi/180 = 2.2863813201 rad | 131° |
| 11pi/15 = 2.3038346126 rad | 132° |
| 133pi/180 = 2.3212879052 rad | 133° |
| 67pi/90 = 2.3387411977 rad | 134° |
| 3pi/4 = 2.3561944902 rad | 135° |
| 34pi/45 = 2.3736477827 rad | 136° |
| 137pi/180 = 2.3911010752 rad | 137° |
| 23pi/30 = 2.4085543678 rad | 138° |
| 139pi/180 = 2.4260076603 rad | 139° |
| 7pi/9 = 2.4434609528 rad | 140° |
| 47pi/60 = 2.4609142453 rad | 141° |
| 71pi/90 = 2.4783675378 rad | 142° |
| 143pi/180 = 2.4958208304 rad | 143° |
| 4pi/5 = 2.5132741229 rad | 144° |
| 29pi/36 = 2.5307274154 rad | 145° |
| 73pi/90 = 2.5481807079 rad | 146° |
| 49pi/60 = 2.5656340004 rad | 147° |
| 37pi/45 = 2.583087293 rad | 148° |
| 149pi/180 = 2.6005405855 rad | 149° |
| 5pi/6 = 2.617993878 rad | 150° |
Summary
You have reached the concluding section of our information about (23/30)×π rad to deg.23pi/30 rad = 138°.
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 23pi/30 radian to degrees or a similar term, then you have gotten your answer as well: 23pi/30 rad ⇔ 138°.
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