So, the conversion factor to multiply by to convert from degrees to radians is about 0.01745329. 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. 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. 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. 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 For example, consider making the following calls in the callback to requestAnimationFrame: + 1 // Rotates by 1 radian per frame + Math.PI / 180 // Rotates by 1 degree per frame + 45 Math.PI / 180 // Rotates by 45 degrees per frame. Although the symbol 'rad' is the accepted SI symbol, in practice, radians are often written without the symbol since a radian is a ratio of two lengths and is therefore, a dimensionless quantity. 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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