Table of Contents
The arc length of (4/9)×π in a circle, that is the angle in radians, is usually abbreviated as 4π/9 rad, and degrees are commonly written with the degree symbol °.
So, if you have been looking for 4π/9 rad in deg or 4π/9 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!
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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 4π/9 Radians to Degrees
Divide the angle in rad by π, then multiply the term by 180° using the formula deg = ([4π/9] / π) × 180°. Thus, you get (rounded to ten decimal places):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 4π/9 radians in degrees , including the formula and a converter.
Below we continue with more information about the conversion.
4π/9 Rad in Deg
Make sure to check out the additional information regarding the result notation of radians into degrees right below the image.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.
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Ahead are the FAQs in the context.
Frequently Asked Questions
What is 4π/9 radians in terms of pi?
An angle of 4π/9 radians cuts off an arc of length 4π/9r 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: 4π/9 rad = degrees / 180° x pi.
Where is 4π/9 radians on unit circle?
The angle of 4π/9 radians lies in the first quadrant, between 0 and pi/2.
What is the angle measure of 4π/9 radians?
4π/9 exact radians is equal to 4π/9 / π × 180° = 80°.
How many degrees in 4π/9 radians?
4π/9 rad = 4π/9 / π × 180° = 80 degrees.
What’s bigger 4π/9radian or 4π/9 degree?
A circle has a little more than six radians, yet 360 degrees. Thus, 4π/9 radians much bigger than 4π/9 degrees.
What is 4π/9 radians converted to degrees?
4π/9 radians converted to degrees equals 80 degrees.
How to convert 4π/9 radians to degrees?
To convert 4π/9 radians to degrees divide the angle in radians by pi, then multiply the term by 180°: degrees = 4π/9/ π × 180°.
What quadrant is 4π/9 radians?
Because each quadrant has π/2 radians we divide 4π/9 by π/2 = 0.888888888888889, then round this term modulo 4 up to nearest whole number between 1 and 4: 1. Thus, 4π/9 rad lies in the first quadrant.
To see the answers click on the collapsible items.
Next is our chart with angles close to 4π/9 rad and their equivalent in °.
Table
This chart contains angles around 4π/9 rad.Radians | Degrees |
---|---|
17π/45 = 1.1868238914 rad | 68° |
23π/60 = 1.2042771839 rad | 69° |
7π/18 = 1.2217304764 rad | 70° |
71π/180 = 1.2391837689 rad | 71° |
2π/5 = 1.2566370614 rad | 72° |
73π/180 = 1.274090354 rad | 73° |
37π/90 = 1.2915436465 rad | 74° |
5π/12 = 1.308996939 rad | 75° |
19π/45 = 1.3264502315 rad | 76° |
77π/180 = 1.343903524 rad | 77° |
13π/30 = 1.3613568166 rad | 78° |
79π/180 = 1.3788101091 rad | 79° |
4π/9 = 1.3962634016 rad | 80° |
9π/20 = 1.4137166941 rad | 81° |
41π/90 = 1.4311699866 rad | 82° |
83π/180 = 1.4486232792 rad | 83° |
7π/15 = 1.4660765717 rad | 84° |
17π/36 = 1.4835298642 rad | 85° |
43π/90 = 1.5009831567 rad | 86° |
29π/60 = 1.5184364492 rad | 87° |
22π/45 = 1.5358897418 rad | 88° |
89π/180 = 1.5533430343 rad | 89° |
1π/2 = 1.5707963268 rad | 90° |
91π/180 = 1.5882496193 rad | 91° |
23π/45 = 1.6057029118 rad | 92° |
Summary
You have reached the concluding section of our information about (4/9)×π rad to deg.4π/9 rad = 80°.
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 4π/9 radian to degrees or a similar term, then you have gotten your answer as well: 4π/9 rad ⇔ 80°.
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