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The arc length of (1+1/2)×π in a circle, that is the angle in radians, is usually abbreviated as 3π/2 rad, and degrees are commonly written with the degree symbol °.
So, if you have been looking for 3π/2 rad in deg or 3π/2 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 3π/2 Radians to Degrees
Divide the angle in rad by π, then multiply the term by 180° using the formula deg = ([3π/2] / 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 3π/2 radians in degrees , including the formula and a converter.
Below we continue with more information about the conversion.
3π/2 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 3π/2 radians in terms of pi?
An angle of 3π/2 radians cuts off an arc of length 3π/2r 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: 3π/2 rad = degrees / 180° x pi.
Where is 3π/2 radians on unit circle?
The angle of 3π/2 radians lies quadrantal on the negative y-axis.
What is the angle measure of 3π/2 radians?
3π/2 exact radians is equal to 3π/2 / π × 180° = 270°.
How many degrees in 3π/2 radians?
3π/2 rad = 3π/2 / π × 180° = 270 degrees.
What’s bigger 3π/2radian or 3π/2 degree?
A circle has a little more than six radians, yet 360 degrees. Thus, 3π/2 radians much bigger than 3π/2 degrees.
What is 3π/2 radians converted to degrees?
3π/2 radians converted to degrees equals 270 degrees.
How to convert 3π/2 radians to degrees?
To convert 3π/2 radians to degrees divide the angle in radians by pi, then multiply the term by 180°: degrees = 3π/2/ π × 180°.
What quadrant is 3π/2 radians?
Because each quadrant has π/2 radians we divide 3π/2 by π/2 = 3, then round this term modulo 4 up to nearest whole number between 1 and 4: 3. Thus, 3π/2 rad lies quadrantal on the negative y-axis because 3π/2 divided by pi/2 equals 3 exactly.
To see the answers click on the collapsible items.
Next is our chart with angles close to 3π/2 rad and their equivalent in °.
Table
This chart contains angles around 3π/2 rad.| Radians | Degrees |
|---|---|
| 43π/30 = 4.5029494701 rad | 258° |
| 259π/180 = 4.5204027627 rad | 259° |
| 13π/9 = 4.5378560552 rad | 260° |
| 29π/20 = 4.5553093477 rad | 261° |
| 131π/90 = 4.5727626402 rad | 262° |
| 263π/180 = 4.5902159327 rad | 263° |
| 22π/15 = 4.6076692253 rad | 264° |
| 53π/36 = 4.6251225178 rad | 265° |
| 133π/90 = 4.6425758103 rad | 266° |
| 89π/60 = 4.6600291028 rad | 267° |
| 67π/45 = 4.6774823953 rad | 268° |
| 269π/180 = 4.6949356879 rad | 269° |
| 3π/2 = 4.7123889804 rad | 270° |
| 271π/180 = 4.7298422729 rad | 271° |
| 68π/45 = 4.7472955654 rad | 272° |
| 91π/60 = 4.7647488579 rad | 273° |
| 137π/90 = 4.7822021505 rad | 274° |
| 55π/36 = 4.799655443 rad | 275° |
| 23π/15 = 4.8171087355 rad | 276° |
| 277π/180 = 4.834562028 rad | 277° |
| 139π/90 = 4.8520153205 rad | 278° |
| 31π/20 = 4.8694686131 rad | 279° |
| 14π/9 = 4.8869219056 rad | 280° |
| 281π/180 = 4.9043751981 rad | 281° |
| 47π/30 = 4.9218284906 rad | 282° |
Summary
You have reached the concluding section of our information about (1+1/2)×π rad to deg.3π/2 rad = 270°.
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 3π/2 radian to degrees or a similar term, then you have gotten your answer as well: 3π/2 rad ⇔ 270°.
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