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-Pi Radians in Degrees

Welcome to -pi radians in degrees, our post explaining the angle conversion from radian to degrees measure commonly used in trigonometric functions.

The arc length of negative pi in a circle, that is the angle in radians, is usually abbreviated as -pi 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 -pi rad in deg or -pi 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!

Result and Calculator

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You may change the argument in the first field, -pi, 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 -pi Radians to Degrees

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

-pi rad = -180°


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 pi radians in degrees , including the formula and a converter.

Below we continue with more information about the conversion.

-pi 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) -180 degrees, -180 degrees of arc, -180 arc degrees, as well as -180 arcdegrees are full spelling variants for -180° (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.

Bookmark us now, and then make sure to check out our search form in the menu and sidebar: it’s a very efficient way to locate frequently searched angle equivalents.

Ahead are the FAQs in the context.

Frequently Asked Questions

What is -pi radians in terms of pi?

An angle of -pi radians cuts off an arc of length -pir 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 rad = degrees / 180° x pi.

Where is -pi radians on unit circle?

The angle of -pi radians lies quadrantal on the negative x-axis.

What is the angle measure of -pi radians?

-pi exact radians is equal to -pi / pi × 180° = -180°.

How many degrees in -pi radians?

-pi rad = -pi / pi × 180° = -180 degrees.

What’s bigger -piradian or -pi degree?

A circle has a little more than six radians, yet 360 degrees. Thus, -pi radians much bigger than -pi degrees.

What is -pi radians converted to degrees?

-pi radians converted to degrees equals -180 degrees.

How to convert -pi radians to degrees?

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

What quadrant is -pi radians?

Because each quadrant has pi/2 radians we divide the coterminal angle of -pi by pi/2: pi / pi/2 = 2, then round this term up to nearest whole number between 1 and 4: 2. Thus, -pi rad lies quadrantal on the negative x-axis because 1pi/1 divided by pi/2 equals 2 exactly.


To see the answers click on the collapsible items.

Next is our chart with angles close to -pi rad and their equivalent in °.

Table

This chart contains angles around -pi rad.
RadiansDegrees
-16pi/15 = -3.3510321638 rad-192°
-191pi/180 = -3.3335788713 rad-191°
-19pi/18 = -3.3161255788 rad-190°
-21pi/20 = -3.2986722863 rad-189°
-47pi/45 = -3.2812189937 rad-188°
-187pi/180 = -3.2637657012 rad-187°
-31pi/30 = -3.2463124087 rad-186°
-37pi/36 = -3.2288591162 rad-185°
-46pi/45 = -3.2114058237 rad-184°
-61pi/60 = -3.1939525311 rad-183°
-91pi/90 = -3.1764992386 rad-182°
-181pi/180 = -3.1590459461 rad-181°
-1pi = -3.1415926536 rad-180°
-179pi/180 = -3.1241393611 rad-179°
-89pi/90 = -3.1066860685 rad-178°
-59pi/60 = -3.089232776 rad-177°
-44pi/45 = -3.0717794835 rad-176°
-35pi/36 = -3.054326191 rad-175°
-29pi/30 = -3.0368728985 rad-174°
-173pi/180 = -3.019419606 rad-173°
-43pi/45 = -3.0019663134 rad-172°
-19pi/20 = -2.9845130209 rad-171°
-17pi/18 = -2.9670597284 rad-170°
-169pi/180 = -2.9496064359 rad-169°
-14pi/15 = -2.9321531434 rad-168°xx
In the final part of this article you can find the summary about how to convert -pi rad to degrees as well as some additional information.

Summary

You have reached the concluding section of our information about negative pi rad to deg.

Negative pi rad = -180°.

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 radian to degrees or a similar term, then you have gotten your answer as well: -pi rad ⇔ -180°.

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