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5π/4 Radians in Degrees

Welcome to 5π/4 radians in degrees, our post explaining the angle conversion from radian to degrees measure commonly used in trigonometric functions.

The arc length of (1+1/4)×π in a circle, that is the angle in radians, is usually abbreviated as 5π/4 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 5π/4 rad in deg or 5π/4 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, 5π/4, 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 5π/4 Radians to Degrees

Divide the angle in rad by π, then multiply the term by 180° using the formula deg = ([5π/4] / π) × 180°. Thus, you get (rounded to ten decimal places):

5π/4 rad = 225°


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 5π/4 radians in degrees , including the formula and a converter.

Below we continue with more information about the conversion.

5π/4 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) 225 degrees, 225 degrees of arc, 225 arc degrees, as well as 225 arcdegrees are full spelling variants for 225° (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 5π/4 radians in terms of pi?

An angle of 5π/4 radians cuts off an arc of length 5π/4r 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: 5π/4 rad = degrees / 180° x pi.

Where is 5π/4 radians on unit circle?

The angle of 5π/4 radians lies in the third quadrant, between pi and 3pi/2.

What is the angle measure of 5π/4 radians?

5π/4 exact radians is equal to 5π/4 / π × 180° = 225°.

How many degrees in 5π/4 radians?

5π/4 rad = 5π/4 / π × 180° = 225 degrees.

What’s bigger 5π/4radian or 5π/4 degree?

A circle has a little more than six radians, yet 360 degrees. Thus, 5π/4 radians much bigger than 5π/4 degrees.

What is 5π/4 radians converted to degrees?

5π/4 radians converted to degrees equals 225 degrees.

How to convert 5π/4 radians to degrees?

To convert 5π/4 radians to degrees divide the angle in radians by pi, then multiply the term by 180°: degrees = 5π/4/ π × 180°.

What quadrant is 5π/4 radians?

Because each quadrant has π/2 radians we divide 5π/4 by π/2 = 2.5, then round this term modulo 4 up to nearest whole number between 1 and 4: 3. Thus, 5π/4 rad lies in the third quadrant.


To see the answers click on the collapsible items.

Next is our chart with angles close to 5π/4 rad and their equivalent in °.

Table

This chart contains angles around 5π/4 rad.
RadiansDegrees
71π/60 = 3.7175513067 rad213°
107π/90 = 3.7350045993 rad214°
43π/36 = 3.7524578918 rad215°
6π/5 = 3.7699111843 rad216°
217π/180 = 3.7873644768 rad217°
109π/90 = 3.8048177693 rad218°
73π/60 = 3.8222710619 rad219°
11π/9 = 3.8397243544 rad220°
221π/180 = 3.8571776469 rad221°
37π/30 = 3.8746309394 rad222°
223π/180 = 3.8920842319 rad223°
56π/45 = 3.9095375245 rad224°
5π/4 = 3.926990817 rad225°
113π/90 = 3.9444441095 rad226°
227π/180 = 3.961897402 rad227°
19π/15 = 3.9793506945 rad228°
229π/180 = 3.9968039871 rad229°
23π/18 = 4.0142572796 rad230°
77π/60 = 4.0317105721 rad231°
58π/45 = 4.0491638646 rad232°
233π/180 = 4.0666171571 rad233°
13π/10 = 4.0840704497 rad234°
47π/36 = 4.1015237422 rad235°
59π/45 = 4.1189770347 rad236°
79π/60 = 4.1364303272 rad237°
In the final part of this article you can find the summary about how to convert 5π/4 rad to degrees as well as some additional information.

Summary

You have reached the concluding section of our information about (1+1/4)×π rad to deg.

5π/4 rad = 225°.

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 5π/4 radian to degrees or a similar term, then you have gotten your answer as well: 5π/4 rad ⇔ 225°.

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