![]() One radian is defined as the angle subtended from the center of a circle which intercepts an arc equal in length to the radius of the circle. For example, to convert 1.570797 radians to degrees, use the formula: 1. If you need to, you can adjust the column widths to see all the data. An alternative method that doesnt rely on the DEGREES () formula is to multiply the angle (in radians) by 180 then divide the result by the mathematical constant pi. Angles without explicitly specified units are generally assumed to be measured in radians, especially in mathematical writing. For formulas to show results, select them, press F2, and then press Enter. The unit was formerly an SI supplementary unit and is currently a dimensionless SI derived unit, defined in the SI as 1 rad = 1 and expressed in terms of the SI base unit metre (m) as rad = m/m. Why do we convert Radians to degrees We convert radians to degrees for the sake of convenience and compatibility with commonly used angular measurements and coordinate systems. It is defined such that one radian is the angle subtended at the centre of a circle by an arc that is equal in length to the radius. One radian is approximately equal to 57.3 degrees. ![]() ![]() The radian, denoted by the symbol rad, is the unit of angle in the International System of Units (SI) and is the standard unit of angular measure used in many areas of mathematics. The circumference subtends an angle of 2 π radians. An arc of a circle with the same length as the radius of that circle subtends an angle of 1 radian. ![]()
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