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The arc length of (1/2)×pi in a circle, that is the angle in radians, is usually abbreviated as pi/2 rad, and degrees are commonly written with the degree symbol °.
So, if you have been looking for pi/2 rad in deg or pi/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 “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 pi/2 Radians to Degrees
Divide the angle in rad by pi, then multiply the term by 180° using the formula deg = ([pi/2] / 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 pi/2 radians in degrees , including the formula and a converter.
Below we continue with more information about the conversion.
pi/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 pi/2 radians in terms of pi?
An angle of pi/2 radians cuts off an arc of length pi/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: pi/2 rad = degrees / 180° x pi.
Where is pi/2 radians on unit circle?
The angle of pi/2 radians lies quadrantal on the positive y-axis.
What is the angle measure of pi/2 radians?
pi/2 exact radians is equal to pi/2 / pi × 180° = 90°.
How many degrees in pi/2 radians?
pi/2 rad = pi/2 / pi × 180° = 90 degrees.
What’s bigger pi/2radian or pi/2 degree?
A circle has a little more than six radians, yet 360 degrees. Thus, pi/2 radians much bigger than pi/2 degrees.
What is pi/2 radians converted to degrees?
pi/2 radians converted to degrees equals 90 degrees.
How to convert pi/2 radians to degrees?
To convert pi/2 radians to degrees divide the angle in radians by pi, then multiply the term by 180°: degrees = pi/2/ pi × 180°.
What quadrant is pi/2 radians?
Because each quadrant has pi/2 radians we divide pi/2 by pi/2 = 1, then round this term modulo 4 up to nearest whole number between 1 and 4: 1. Thus, pi/2 rad lies quadrantal on the positive y-axis because 1pi/2 divided by pi/2 equals 1 exactly.
To see the answers click on the collapsible items.
Next is our chart with angles close to pi/2 rad and their equivalent in °.
Table
This chart contains angles around pi/2 rad.| Radians | Degrees |
|---|---|
| 13pi/30 = 1.3613568166 rad | 78° |
| 79pi/180 = 1.3788101091 rad | 79° |
| 4pi/9 = 1.3962634016 rad | 80° |
| 9pi/20 = 1.4137166941 rad | 81° |
| 41pi/90 = 1.4311699866 rad | 82° |
| 83pi/180 = 1.4486232792 rad | 83° |
| 7pi/15 = 1.4660765717 rad | 84° |
| 17pi/36 = 1.4835298642 rad | 85° |
| 43pi/90 = 1.5009831567 rad | 86° |
| 29pi/60 = 1.5184364492 rad | 87° |
| 22pi/45 = 1.5358897418 rad | 88° |
| 89pi/180 = 1.5533430343 rad | 89° |
| 1pi/2 = 1.5707963268 rad | 90° |
| 91pi/180 = 1.5882496193 rad | 91° |
| 23pi/45 = 1.6057029118 rad | 92° |
| 31pi/60 = 1.6231562044 rad | 93° |
| 47pi/90 = 1.6406094969 rad | 94° |
| 19pi/36 = 1.6580627894 rad | 95° |
| 8pi/15 = 1.6755160819 rad | 96° |
| 97pi/180 = 1.6929693744 rad | 97° |
| 49pi/90 = 1.710422667 rad | 98° |
| 11pi/20 = 1.7278759595 rad | 99° |
| 5pi/9 = 1.745329252 rad | 100° |
| 101pi/180 = 1.7627825445 rad | 101° |
| 17pi/30 = 1.780235837 rad | 102°xx |
Summary
You have reached the concluding section of our information about (1/2)×pi rad to deg.pi/2 rad = 90°.
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 pi/2 radian to degrees or a similar term, then you have gotten your answer as well: pi/2 rad ⇔ 90°.
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