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The arc length of (1/4)×π in a circle, that is the angle in radians, is usually abbreviated as 1pi/4 rad, and degrees are commonly written with the degree symbol °.
So, if you have been looking for 1pi/4 rad in deg or 1pi/4 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 1pi/4 Radians to Degrees
Divide the angle in rad by pi, then multiply the term by 180° using the formula deg = ([1pi/4] / 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 1pi/4 radians in degrees , including the formula and a converter.
Below we continue with more information about the conversion.
1pi/4 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 1pi/4 radians in terms of pi?
An angle of 1pi/4 radians cuts off an arc of length 1pi/4r 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: 1pi/4 rad = degrees / 180° x pi.
Where is 1pi/4 radians on unit circle?
The angle of 1pi/4 radians lies in the first quadrant, between 0 and pi/2.
What is the angle measure of 1pi/4 radians?
1pi/4 exact radians is equal to 1pi/4 / pi × 180° = 45°.
How many degrees in 1pi/4 radians?
1pi/4 rad = 1pi/4 / pi × 180° = 45 degrees.
What’s bigger 1pi/4radian or 1pi/4 degree?
A circle has a little more than six radians, yet 360 degrees. Thus, 1pi/4 radians much bigger than 1pi/4 degrees.
What is 1pi/4 radians converted to degrees?
1pi/4 radians converted to degrees equals 45 degrees.
How to convert 1pi/4 radians to degrees?
To convert 1pi/4 radians to degrees divide the angle in radians by pi, then multiply the term by 180°: degrees = 1pi/4/ pi × 180°.
What quadrant is 1pi/4 radians?
Because each quadrant has pi/2 radians we divide 1pi/4 by pi/2 = 0.5, then round this term modulo 4 up to nearest whole number between 1 and 4: 1. Thus, 1pi/4 rad lies in the first quadrant.
To see the answers click on the collapsible items.
Next is our chart with angles close to 1pi/4 rad and their equivalent in °.
Table
This chart contains angles around 1pi/4 rad.| Radians | Degrees |
|---|---|
| 11pi/60 = 0.5759586532 rad | 33° |
| 17pi/90 = 0.5934119457 rad | 34° |
| 7pi/36 = 0.6108652382 rad | 35° |
| 1pi/5 = 0.6283185307 rad | 36° |
| 37pi/180 = 0.6457718232 rad | 37° |
| 19pi/90 = 0.6632251158 rad | 38° |
| 13pi/60 = 0.6806784083 rad | 39° |
| 2pi/9 = 0.6981317008 rad | 40° |
| 41pi/180 = 0.7155849933 rad | 41° |
| 7pi/30 = 0.7330382858 rad | 42° |
| 43pi/180 = 0.7504915784 rad | 43° |
| 11pi/45 = 0.7679448709 rad | 44° |
| 1pi/4 = 0.7853981634 rad | 45° |
| 23pi/90 = 0.8028514559 rad | 46° |
| 47pi/180 = 0.8203047484 rad | 47° |
| 4pi/15 = 0.837758041 rad | 48° |
| 49pi/180 = 0.8552113335 rad | 49° |
| 5pi/18 = 0.872664626 rad | 50° |
| 17pi/60 = 0.8901179185 rad | 51° |
| 13pi/45 = 0.907571211 rad | 52° |
| 53pi/180 = 0.9250245036 rad | 53° |
| 3pi/10 = 0.9424777961 rad | 54° |
| 11pi/36 = 0.9599310886 rad | 55° |
| 14pi/45 = 0.9773843811 rad | 56° |
| 19pi/60 = 0.9948376736 rad | 57° |
Summary
You have reached the concluding section of our information about (1/4)×π rad to deg.1pi/4 rad = 45°.
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 1pi/4 radian to degrees or a similar term, then you have gotten your answer as well: 1pi/4 rad ⇔ 45°.
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