#CONVERT RAD TO DEG HOW TO#

Is 180 equivalent to 2 180 degrees is equivalent to radians, 360 degress is equivalent to 2.

Dividing both sides of the equation by 57.29578 we get about 0.01745329 radians = 1 degrees. We convert degrees to radians because radians provide a more natural and consistent unit for measuring angles in mathematical calculations and trigonometric functions. 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.

#CONVERT RAD TO DEG HOW TO#

To understand how to also convert the units follow this example. So, to convert directly from radians to revolutions you multiply by 0.1591549. Alternatively, we can convert an angle in degrees to one in radians by multiplying the given angle by 1 8 0, and we can convert an angle in radians to one. Once you’ve gotten your answer, simplify the radians. For example, to convert 120 degrees you would have 120 x /180 120/180. You can calculate this by converting both numbers into fractions. 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 degrees to radians, take the number of degrees to be converted and multiply it by /180. 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 For instance, if you wanted to convert 3.14159 radians into degrees, you would perform the. To convert rad to deg, you can use the following formula: degrees 180/ × radians. Multiply by the value in the right column in the table below.ĥ radians * 57.29578 = 286.4789 degrees Radians (denoted by the symbol rad) and degrees (indicated by the symbol deg or ) are units for measuring angles, where 1 radian is approximately 57.2958 degrees. To simply convert from any unit into degrees, for example, from 5 radians, just 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.

Convert rad to deg