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-427 Degrees in Radians

Welcome to -427 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.


Negative 427 degrees are sometimes abbreviated as -427 deg, and using the degree symbol written as -427°. The result in radian can be abbreviated with the unit symbol rad.

So, if you want to calculate -427 deg in rad or -427° 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, -427, 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 -427 rad to °.

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

Convert -427 Degrees to Radians

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

Formula: rad = ([-427°] / 180°) × π.

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

-427° = -(2+67/180)×π rad = -427π/180 rad ≈ -7.452555906 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 427 degrees in radians, including the formula and a converter.

Below we continue with more information about the conversion of -427 degree.

-427 Deg in Rad

Note that negative four hundred and twenty-seven degrees, -427 degrees of arc, -427 arc degrees, as well as -427 arcdegrees are full spelling variants for -427 °.

Similar conversions in this category include, for example:
If you want to know more about the units of angle mentioned in this page about -427 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 -427 degrees to radians?

Divide the degrees by 180°, then multiply the term by π: -427°/180° × π = -427π/180 rad.

What is -427 degrees in radians in terms of pi?

-427° in radians = -427°/180° × pi = -427/180 times pi.

How many radians is -427 degrees?

As one full circle of 360 degrees equals 2pi, -427 degrees = -427/360 × 2pi = -427/180 pi rad.

How many π’s is -427 degrees?

-427° = -427/180 π.

What is -427 degrees in radians?

-427° = -7.452555906 rad.

What quadrant is -427 degrees?

Because each quadrant has 90 degrees we divide the coterminal angle of -427° by 90°: 293°/90° = 3.2555555556, then round this term up to nearest whole number between 0 and 4: 4. Thus, -427° rad lies in the fourth quadrant between270° and 360°.

What’s smaller -427 radian or -427 degrees?

A circle has a little more than 6 radians, yet 360 degrees. Thus, -427 degrees is much smaller than -427 radians.

How do I convert -427 degrees to radians in fraction form?

Rad = -427°/180° × π
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Next is our chart with angles close to -427° and their equivalent in rad.

Table

The following table contains some angles in the context:
DegreesRadians
-439°-1001π/180 = -17.4707458125 rad
-438°-73π/30 = -7.6445421237 rad
-437°-437π/180 = -7.6270888312 rad
-436°-109π/45 = -7.6096355387 rad
-435°-29π/12 = -7.5921822462 rad
-434°-217π/90 = -7.5747289537 rad
-433°-433π/180 = -7.5572756611 rad
-432°-12π/5 = -7.5398223686 rad
-431°-431π/180 = -7.5223690761 rad
-430°-43π/18 = -7.5049157836 rad
-429°-143π/60 = -7.4874624911 rad
-428°-107π/45 = -7.4700091985 rad
-427°-427π/180 = -7.452555906 rad
-426°-71π/30 = -7.4351026135 rad
-425°-85π/36 = -7.417649321 rad
-424°-106π/45 = -7.4001960285 rad
-423°-47π/20 = -7.3827427359 rad
-422°-211π/90 = -7.3652894434 rad
-421°-421π/180 = -7.3478361509 rad
-420°-7π/3 = -7.3303828584 rad
-419°-419π/180 = -7.3129295659 rad
-418°-209π/90 = -7.2954762733 rad
-417°-139π/60 = -7.2780229808 rad
-416°-104π/45 = -7.2605696883 rad
-415°-83π/36 = -7.2431163958 rad
In the final part of this article you can find the summary about negative four hundred and twenty-seven degrees radians as well as some additional information.

Summary

You have reached the concluding section of our information about -427 deg in rad.

Negative 427 degrees = -7.452555906 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 negative four hundred and twenty-seven degrees to radians in terms of pi, or a similar term such as angle to radians, then you have gotten your answer as well: -427° ⇔ -7.452555906 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