Share this Answer Link: help Show Calculator UseConvert units of angles by entering the value to convert and the from and to units. How to Convert Units of AnglesConversions are performed by using a conversion factor. By knowing the conversion factor, converting between units can become a simple multiplication problem: S * C = E Where S is our starting value, C is our conversion factor, and E is our end converted result. To simply convert from any unit into degrees, for example, from 5 radians, just multiply by the value in the right column in the table below.
To convert from degrees back into units in the left column divide by the value in the right column or, multiply by the reciprocal, 1/x.
To convert among any units in the left column, say from A to B, you can multiply by the factor for A to convert A into degrees then divide by the factor for B to convert out of degrees. Or, you can find the single factor you need by dividing the A factor by the B factor. For example, to convert from radians to revolutions you would multiply by 57.29578 then divide by 360. Or, multiply by 57.29578/360 = 0.1591549. So, to convert directly from radians to revolutions you multiply by 0.1591549. To understand how to also convert the units follow this example. Say you want to convert from radians to degrees. Since you can multiply anything by 1 and still retain the original value, but in different units, set it up so that radian will cancel out leaving you with degree.
Knowing that 1 radian = 57.29578 degrees we can now find the conversion factor for converting back. Dividing both sides of the equation by 57.29578 we get about 0.01745329 radians = 1 degrees. So, the conversion factor to multiply by to convert from
degrees to radians is about 0.01745329. Table of Angular Conversions Units, symbols and conversion values radian rad degree 180/π 57.29578 minutes ' degree 1/60 0.016667 seconds " degree 1/ 3600 2.777778 e-4 octant octant degree 360/8 45 sextant sextant degree 360/6 60 quadrant quadrant degree 360/ 4 90 revolution r degree 360/ 1 360 gon gon degree 360/ 400 0.9 mil mil degree 360/ 6400 0.05625 Units, symbols and conversion values degree ° radian π/180 0.01745329 minutes ' radian (π/180)/ 60 2.908882 e-04 seconds " radian (π/180)/ 3600 4.848137 e-06 octant octant radian 2π/8 0.7853982 sextant sextant radian 2π/6 1.047196 quadrant quadrant radian 2π/4 1.570796 revolution r radian 2π 6.283185 gon gon radian 2π/ 400 0.01570796 mil mil radian 2π/ 6400 9.817477 e-4 References/ Further ReadingThe National Institute of Standards and Technology (NIST) - The NIST Guide for the use of the International System of Units - Appendix B, subsections B.8 Factors for Units Listed Alphabetically and B.9 Factors for units listed by kind of quantity or field of science. Lide, David R., Daniel (Editor-in-Chief). CRC Handbook of Chemistry and Physics, 89th Edition New York, NY: CRC Press, p. 1-28, 2008. Wikipedia contributors. "Conversion of units" Wikipedia, The Free Encyclopedia. Wikipedia, The Free Encyclopedia, last visited 26 Jun. 2011. Follow CalculatorSoup:  How do you find the angle on a scientific calculator?To set your calculator to work in degrees, use the key sequence (SETUP) (Deg). To calculate the sine, cosine or tangent of an angle, press the , or key and then type in the size of the angle. Note that the , and keys automatically open a bracket for you.
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