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83π/15 Radians in Degrees

Welcome to 83π/15 radians in degrees, our post explaining the angle conversion from radian to degrees measure commonly used in trigonometric functions.

The arc length of (5+8/15)×π in a circle, that is the angle in radians, is usually abbreviated as 83π/15 rad, and degrees are commonly written with the degree symbol °.

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So, if you have been looking for 83π/15 rad in deg or 83π/15 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!

Result and Calculator

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You may change the argument in the first field, 83π/15, our converter then does the calculation automatically, without the need to push the blue button.

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 83π/15 Radians to Degrees

Divide the angle in rad by π, then multiply the term by 180° using the formula deg = ([83π/15] / π) × 180°. Thus, you get (rounded to ten decimal places):

83π/15 rad = 996°


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 83π/15 radians in degrees , including the formula and a converter.

Below we continue with more information about the conversion.

83π/15 Rad in Deg

Make sure to check out the additional information regarding the result notation of radians into degrees right below the image.

Note that (the result) 996 degrees, 996 degrees of arc, 996 arc degrees, as well as 996 arcdegrees are full spelling variants for 996° (degree measure).

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 83π/15 radians in terms of pi?

An angle of 83π/15 radians cuts off an arc of length 83π/15r 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: 83π/15 rad = degrees / 180° x pi.

Where is 83π/15 radians on unit circle?

The angle of 83π/15 radians lies in the fourth quadrant, between 3pi/2 and 2pi.

What is the angle measure of 83π/15 radians?

83π/15 exact radians is equal to 83π/15 / π × 180° = 996°.

How many degrees in 83π/15 radians?

83π/15 rad = 83π/15 / π × 180° = 996 degrees.

What’s bigger 83π/15radian or 83π/15 degree?

A circle has a little more than six radians, yet 360 degrees. Thus, 83π/15 radians much bigger than 83π/15 degrees.

What is 83π/15 radians converted to degrees?

83π/15 radians converted to degrees equals 996 degrees.

How to convert 83π/15 radians to degrees?

To convert 83π/15 radians to degrees divide the angle in radians by pi, then multiply the term by 180°: degrees = 83π/15/ π × 180°.

What quadrant is 83π/15 radians?

Because each quadrant has π/2 radians we divide the coterminal angle of 83π/15 by π/2: 23π/15 / π/2 = 3.06666666666667, then round this term up to nearest whole number between 1 and 4: 4. Thus, 83π/15 rad lies in the fourth quadrant.


To see the answers click on the collapsible items.

Next is our chart with angles close to 83π/15 rad and their equivalent in °.

Table

This chart contains angles around 83π/15 rad.
RadiansDegrees
82π/15 = 17.1740398396 rad984°
197π/36 = 17.1914931321 rad985°
493π/90 = 17.2089464247 rad986°
329π/60 = 17.2263997172 rad987°
247π/45 = 17.2438530097 rad988°
989π/180 = 17.2613063022 rad989°
11π/2 = 17.2787595947 rad990°
991π/180 = 17.2962128873 rad991°
248π/45 = 17.3136661798 rad992°
331π/60 = 17.3311194723 rad993°
497π/90 = 17.3485727648 rad994°
199π/36 = 17.3660260573 rad995°
83π/15 = 17.3834793499 rad996°
997π/180 = 17.4009326424 rad997°
499π/90 = 17.4183859349 rad998°
111π/20 = 17.4358392274 rad999°
50π/9 = 17.4532925199 rad1000°
1001π/180 = 17.4707458125 rad1001°
167π/30 = 17.488199105 rad1002°
1003π/180 = 17.5056523975 rad1003°
251π/45 = 17.52310569 rad1004°
67π/12 = 17.5405589825 rad1005°
503π/90 = 17.5580122751 rad1006°
1007π/180 = 17.5754655676 rad1007°
28π/5 = 17.5929188601 rad1008°
In the final part of this article you can find the summary about how to convert 83π/15 rad to degrees as well as some additional information.

Summary

You have reached the concluding section of our information about (5+8/15)×π rad to deg.

83π/15 rad = 996°.

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 83π/15 radian to degrees or a similar term, then you have gotten your answer as well: 83π/15 rad ⇔ 996°.

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