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The arc length of (59/60)×π in a circle, that is the angle in radians, is usually abbreviated as 59pi/60 rad, and degrees are commonly written with the degree symbol °.
So, if you have been looking for 59pi/60 rad in deg or 59pi/60 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 59pi/60 Radians to Degrees
Divide the angle in rad by pi, then multiply the term by 180° using the formula deg = ([59pi/60] / 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 59pi/60 radians in degrees , including the formula and a converter.
Below we continue with more information about the conversion.
59pi/60 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 59pi/60 radians in terms of pi?
An angle of 59pi/60 radians cuts off an arc of length 59pi/60r 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: 59pi/60 rad = degrees / 180° x pi.
Where is 59pi/60 radians on unit circle?
The angle of 59pi/60 radians lies in the second quadrant, between pi/2 and pi.
What is the angle measure of 59pi/60 radians?
59pi/60 exact radians is equal to 59pi/60 / pi × 180° = 177°.
How many degrees in 59pi/60 radians?
59pi/60 rad = 59pi/60 / pi × 180° = 177 degrees.
What’s bigger 59pi/60radian or 59pi/60 degree?
A circle has a little more than six radians, yet 360 degrees. Thus, 59pi/60 radians much bigger than 59pi/60 degrees.
What is 59pi/60 radians converted to degrees?
59pi/60 radians converted to degrees equals 177 degrees.
How to convert 59pi/60 radians to degrees?
To convert 59pi/60 radians to degrees divide the angle in radians by pi, then multiply the term by 180°: degrees = 59pi/60/ pi × 180°.
What quadrant is 59pi/60 radians?
Because each quadrant has pi/2 radians we divide 59pi/60 by pi/2 = 1.96666666666667, then round this term modulo 4 up to nearest whole number between 1 and 4: 2. Thus, 59pi/60 rad lies in the second quadrant.
To see the answers click on the collapsible items.
Next is our chart with angles close to 59pi/60 rad and their equivalent in °.
Table
This chart contains angles around 59pi/60 rad.| Radians | Degrees |
|---|---|
| 11pi/12 = 2.8797932658 rad | 165° |
| 83pi/90 = 2.8972465583 rad | 166° |
| 167pi/180 = 2.9146998508 rad | 167° |
| 14pi/15 = 2.9321531434 rad | 168° |
| 169pi/180 = 2.9496064359 rad | 169° |
| 17pi/18 = 2.9670597284 rad | 170° |
| 19pi/20 = 2.9845130209 rad | 171° |
| 43pi/45 = 3.0019663134 rad | 172° |
| 173pi/180 = 3.019419606 rad | 173° |
| 29pi/30 = 3.0368728985 rad | 174° |
| 35pi/36 = 3.054326191 rad | 175° |
| 44pi/45 = 3.0717794835 rad | 176° |
| 59pi/60 = 3.089232776 rad | 177° |
| 89pi/90 = 3.1066860685 rad | 178° |
| 179pi/180 = 3.1241393611 rad | 179° |
| 1pi = 3.1415926536 rad | 180° |
| 181pi/180 = 3.1590459461 rad | 181° |
| 91pi/90 = 3.1764992386 rad | 182° |
| 61pi/60 = 3.1939525311 rad | 183° |
| 46pi/45 = 3.2114058237 rad | 184° |
| 37pi/36 = 3.2288591162 rad | 185° |
| 31pi/30 = 3.2463124087 rad | 186° |
| 187pi/180 = 3.2637657012 rad | 187° |
| 47pi/45 = 3.2812189937 rad | 188° |
| 21pi/20 = 3.2986722863 rad | 189° |
Summary
You have reached the concluding section of our information about (59/60)×π rad to deg.59pi/60 rad = 177°.
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 59pi/60 radian to degrees or a similar term, then you have gotten your answer as well: 59pi/60 rad ⇔ 177°.
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