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13π/6 Radians in Degrees

Welcome to 13π/6 radians in degrees, our post explaining the angle conversion from radian to degrees measure commonly used in trigonometric functions.

The arc length of (2+1/6)×π in a circle, that is the angle in radians, is usually abbreviated as 13π/6 rad, and degrees are commonly written with the degree symbol °.

Skip intro and head directly to the result.


So, if you have been looking for 13π/6 rad in deg or 13π/6 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, 13π/6, 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 13π/6 Radians to Degrees

Divide the angle in rad by π, then multiply the term by 180° using the formula deg = ([13π/6] / π) × 180°. Thus, you get (rounded to ten decimal places):

13π/6 rad = 390°


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 13π/6 radians in degrees , including the formula and a converter.

Below we continue with more information about the conversion.

13π/6 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) 390 degrees, 390 degrees of arc, 390 arc degrees, as well as 390 arcdegrees are full spelling variants for 390° (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 13π/6 radians in terms of pi?

An angle of 13π/6 radians cuts off an arc of length 13π/6r 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: 13π/6 rad = degrees / 180° x pi.

Where is 13π/6 radians on unit circle?

The angle of 13π/6 radians lies in the first quadrant, between 0 and pi/2.

What is the angle measure of 13π/6 radians?

13π/6 exact radians is equal to 13π/6 / π × 180° = 390°.

How many degrees in 13π/6 radians?

13π/6 rad = 13π/6 / π × 180° = 390 degrees.

What’s bigger 13π/6radian or 13π/6 degree?

A circle has a little more than six radians, yet 360 degrees. Thus, 13π/6 radians much bigger than 13π/6 degrees.

What is 13π/6 radians converted to degrees?

13π/6 radians converted to degrees equals 390 degrees.

How to convert 13π/6 radians to degrees?

To convert 13π/6 radians to degrees divide the angle in radians by pi, then multiply the term by 180°: degrees = 13π/6/ π × 180°.

What quadrant is 13π/6 radians?

Because each quadrant has π/2 radians we divide the coterminal angle of 13π/6 by π/2: π/6 / π/2 = 0.333333333333333, then round this term up to nearest whole number between 1 and 4: 1. Thus, 13π/6 rad lies in the first quadrant.


To see the answers click on the collapsible items.

Next is our chart with angles close to 13π/6 rad and their equivalent in °.

Table

This chart contains angles around 13π/6 rad.
RadiansDegrees
21π/10 = 6.5973445725 rad378°
379π/180 = 6.6147978651 rad379°
19π/9 = 6.6322511576 rad380°
127π/60 = 6.6497044501 rad381°
191π/90 = 6.6671577426 rad382°
383π/180 = 6.6846110351 rad383°
32π/15 = 6.7020643277 rad384°
77π/36 = 6.7195176202 rad385°
193π/90 = 6.7369709127 rad386°
43π/20 = 6.7544242052 rad387°
97π/45 = 6.7718774977 rad388°
389π/180 = 6.7893307903 rad389°
13π/6 = 6.8067840828 rad390°
391π/180 = 6.8242373753 rad391°
98π/45 = 6.8416906678 rad392°
131π/60 = 6.8591439603 rad393°
197π/90 = 6.8765972529 rad394°
79π/36 = 6.8940505454 rad395°
11π/5 = 6.9115038379 rad396°
397π/180 = 6.9289571304 rad397°
199π/90 = 6.9464104229 rad398°
133π/60 = 6.9638637155 rad399°
20π/9 = 6.981317008 rad400°
401π/180 = 6.9987703005 rad401°
67π/30 = 7.016223593 rad402°
In the final part of this article you can find the summary about how to convert 13π/6 rad to degrees as well as some additional information.

Summary

You have reached the concluding section of our information about (2+1/6)×π rad to deg.

13π/6 rad = 390°.

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 13π/6 radian to degrees or a similar term, then you have gotten your answer as well: 13π/6 rad ⇔ 390°.

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