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90 Degrees in Radians

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Welcome to 90 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.


90 degrees are sometimes abbreviated as 90 deg, and using the degree symbol written as 90°. The result in radian can be abbreviated with the unit symbol rad.

So, if you want to calculate 90 deg in rad or 90° 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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Simply the Best Angle Converter Radians ⇄ Degrees! Click To TweetYou may change the argument in the first field, 90, 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 90 rad to °.

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

Convert 90 Degrees to Radians

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

Formula: rad = ([90°] / 180°) × π.

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

90° = (1/2)×π rad = 1π/2 rad ≈ 1.5707963268 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 90 degrees in radians, including the formula and a converter.

Below we continue with more information about the conversion of 90 degree.

90 Deg in Rad

Note that ninety degrees, 90 degrees of arc, 90 arc degrees, as well as 90 arcdegrees are full spelling variants for 90 °.

Similar conversions in this category include, for example: If you want to know more about the units of angle mentioned in this page about 90 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 90 degrees to radians?

Divide the degrees by 180°, then multiply the term by π: 90°/180° × π = 1π/2 rad.

What is 90 degrees in radians in terms of pi?

90° in radians = 90°/180° × pi = 1/2 times pi.

How many radians is 90 degrees?

As one full circle of 360 degrees equals 2pi, 90 degrees = 90/360 × 2pi = 1/2 pi rad.

How many π’s is 90 degrees?

90° = 1/2 π.

What is 90 degrees in radians?

90° = 1.5707963268 rad.

What quadrant is 90 degrees?

Because each quadrant has 90 degrees we divide 90° by 90° = 1, then round this term modulo 4 up to nearest whole number between 0 and 4: 1. Thus, 90° rad lies quadrantal on the positive y-axis because 90° divided by 90° equals 1 exactly.

What’s smaller 90 radian or 90 degrees?

A circle has a little more than 6 radians, yet 360 degrees. Thus, 90 degrees is much smaller than 90 radians.

How do I convert 90 degrees to radians in fraction form?

Rad = 90°/180° × π
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Next is our chart with angles close to 90° and their equivalent in rad.

Table

The following table contains some angles in the context:
DegreesRadians
78°-1001π/180 = -17.4707458125 rad
79°79π/180 = 1.3788101091 rad
80°4π/9 = 1.3962634016 rad
81°9π/20 = 1.4137166941 rad
82°41π/90 = 1.4311699866 rad
83°83π/180 = 1.4486232792 rad
84°7π/15 = 1.4660765717 rad
85°17π/36 = 1.4835298642 rad
86°43π/90 = 1.5009831567 rad
87°29π/60 = 1.5184364492 rad
88°22π/45 = 1.5358897418 rad
89°89π/180 = 1.5533430343 rad
90°1π/2 = 1.5707963268 rad
91°91π/180 = 1.5882496193 rad
92°23π/45 = 1.6057029118 rad
93°31π/60 = 1.6231562044 rad
94°47π/90 = 1.6406094969 rad
95°19π/36 = 1.6580627894 rad
96°8π/15 = 1.6755160819 rad
97°97π/180 = 1.6929693744 rad
98°49π/90 = 1.710422667 rad
99°11π/20 = 1.7278759595 rad
100°5π/9 = 1.745329252 rad
101°101π/180 = 1.7627825445 rad
102°17π/30 = 1.780235837 rad
In the final part of this article you can find the summary about ninety degrees radians as well as some additional information.

Summary

You have reached the concluding section of our information about 90 deg in rad.

90 degrees = 1.5707963268 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 ninety degrees to radians in terms of pi, or a similar term such as angle to radians, then you have gotten your answer as well: 90° ⇔ 1.5707963268 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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