![]() ![]() So, the conversion factor to multiply by to convert from degrees to radians is about 0.01745329. The definition of a degree is as follows: A degree (or in full degree of arc), usually symbolized by the symbol, is a measurement of plane angles, or of a location along a great circle of a sphere (such as the Earth or the celestial sphere), representing 1/360 of a full rotation. Dividing both sides of the equation by 57.29578 we get about 0.01745329 radians = 1 degrees. Knowing that 1 radian = 57.29578 degrees we can now find the conversion factor for converting back. Note that there are rounding errors in these values. 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.ġ degree = 0.01745329 radians, 1 degree / 0.01745329 radians = 1ġ radian = 1 radian * (1 degree / 0.01745329 radians) = 57.29578 degreesĪnd we now have our factor for conversion from radians to degrees since 1 * 57.29578 = 57.29578. Free online temperature converter - converts between 6 units of temperature, including kelvin K, Celsius ☌, Fahrenheit ☏, Rankine °R, etc. Say you want to convert from radians to degrees. To understand how to also convert the units follow this example. So, to convert directly from radians to revolutions you multiply by 0.1591549. The angle in radians is equal to the angle in degrees times pi constant divided by 180 degrees: (radians) (degrees) × / 180 or. Or, you can find the single factor you need by dividing the A factor by the B factor.įor example, to convert from radians to revolutions you would multiply by 57.29578 then divide by 360. 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. Convert Degrees to and from Radians, Minutes (angular), Seconds (angular), Centrad, Gradians, Sign, Milliradians (NATO), Milliradians (USSR), Milliradians (US WW2), Milliradians (UK). To convert from degrees back into units in the left columnĭivide by the value in the right column or, multiply by the reciprocal, 1/x.Ģ86.4789 degrees / 57.29578 = 5 radians Multiply by the value in the right column in the table below.ĥ radians * 57.29578 = 286.4789 degrees To simply convert from any unit into degrees, for example, from 5 radians, just Convert between various classes of coordinates using this tool. ![]() Where S is our starting value, C is our conversion factor, and How to Convert Units of AnglesĬonversions are performed by using a conversion factor. By knowing the conversion factor, converting between units can become a simple multiplication problem: Convert units of angles by entering the value to convert and the from and to units. ![]()
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