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180 Degrees in Radians

Welcome to 180 degrees in radians, our post explaining the conversion of this angle from the unit degree to the unit circle frequently used in trigonometric functions.

Skip intro and head directly to the result.


180 degrees are sometimes abbreviated as 180 deg, and using the degree symbol written as 180°. The result in radian can be abbreviated with the unit symbol rad.

So, if you want to calculate 180 deg in rad or 180° to radians, 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, degrees to radians as well as radians to degree, and our tool even accepts “π”, “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, 180, our tool then does the calculation automatically, without the need to push the blue button.

Fill in the lower field if you like to change an angle in radians such as 180 rad to °.

In the next section of this post we explain the conversion factor π/180°.

Convert 180 Degrees to Radians

Divide the angle in degrees by 180°, then multiply the term by π using this

Formula: rad = ([180°] / 180°) × π.

Thus, the converted angle in radians (rounded to ten decimal places) is:

180° = π rad = 1π rad ≈ 3.1415926536 rad


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

Below we continue with more information about the conversion of 180 degree.

180 Deg in Rad

Note that hundred and eighty degrees, 180 degrees of arc, 180 arc degrees, as well as 180 arcdegrees are full spelling variants for 180 °.

Similar conversions in this category include, for example:
If you want to know more about the units of angle mentioned in this page about 180 deg to rad, then read the articles located in the header menu of this site.

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.The FAQs are next.

Frequently Asked Questions

In in connection with this post, here are the FAQs. Do you know the correct answer?

How do you convert 180 degrees to radians?

Divide the degrees by 180°, then multiply the term by π: 180°/180° × π = 1π rad.

What is 180 degrees in radians in terms of pi?

180° in radians = 180°/180° × pi = 1/1 times pi.

How many radians is 180 degrees?

As one full circle of 360 degrees equals 2pi, 180 degrees = 180/360 × 2pi = 1/1 pi rad.

How many π’s is 180 degrees?

180° = 1/1 π.

What is 180 degrees in radians?

180° = 3.1415926536 rad.

What quadrant is 180 degrees?

Because each quadrant has 90 degrees we divide 180° by 90° = 2, then round this term modulo 4 up to nearest whole number between 0 and 4: 2. Thus, 180° rad lies quadrantal on the negative x-axis because 180° divided by 90° equals 2 exactly.

What’s smaller 180 radian or 180 degrees?

A circle has a little more than 6 radians, yet 360 degrees. Thus, 180 degrees is much smaller than 180 radians.

How do I convert 180 degrees to radians in fraction form?

Rad = 180°/180° × π
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Next is our chart with angles close to 180° and their equivalent in rad.

Table

The following table contains some angles in the context:
DegreesRadians
168°-1001π/180 = -17.4707458125 rad
169°169π/180 = 2.9496064359 rad
170°17π/18 = 2.9670597284 rad
171°19π/20 = 2.9845130209 rad
172°43π/45 = 3.0019663134 rad
173°173π/180 = 3.019419606 rad
174°29π/30 = 3.0368728985 rad
175°35π/36 = 3.054326191 rad
176°44π/45 = 3.0717794835 rad
177°59π/60 = 3.089232776 rad
178°89π/90 = 3.1066860685 rad
179°179π/180 = 3.1241393611 rad
180°1π = 3.1415926536 rad
181°181π/180 = 3.1590459461 rad
182°91π/90 = 3.1764992386 rad
183°61π/60 = 3.1939525311 rad
184°46π/45 = 3.2114058237 rad
185°37π/36 = 3.2288591162 rad
186°31π/30 = 3.2463124087 rad
187°187π/180 = 3.2637657012 rad
188°47π/45 = 3.2812189937 rad
189°21π/20 = 3.2986722863 rad
190°19π/18 = 3.3161255788 rad
191°191π/180 = 3.3335788713 rad
192°16π/15 = 3.3510321638 rad
In the final part of this article you can find the summary about hundred and eighty degrees radians as well as some additional information.

Summary

You have reached the concluding section of our information about 180 deg in rad.

180 degrees = 3.1415926536 rad

Using our converter, formula, chart and information, you have everything to convert degrees to radians at your disposal.

If you have found our post searching for hundred and eighty degrees to radians in terms of pi, or a similar term such as angle to radians, then you have gotten your answer as well: 180° ⇔ 3.1415926536 rad.

The radian measure is the standard unit of measure in the areas of math involving a circle like the sine function and cosine function, just to name a few.

Likewise in science, mathematical computations involving the angle of circle of some sort are hardly ever calculated in degrees.

Conversely, in plane geometry an angle in a circle or in a triangle is more likely to expressed in °.

Additional information

Last, but not least, here are some supplementary information related to the degree measurement and conversion:

The positive movement of an angle in a circle is a counterclockwise revolution, and the angular measure is indicated in either of these units: deg, rad or grad.

The angle in degrees indicates how far you have tilted your head, whereas the angle in radians tells you how far you have traveled on the arc.

Calculations in radians are said to be easier, though. At least once you got the hang of it.

Typical usage for angles in radians include the sine function and cosine function, whereas the angle in a triangle is usually denoted in degree.

More information about radians & degrees, the entire circle including the radius, the circumference as well as the the definition of radian as ratio can be found in our article degrees to radians.

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– Article written by Mark, last updated on April 13th, 2021