Basically, if the original angle is alpha, the new value is:
(alpha*PI)/180. For example, for 90 degrees you will get:
(90*PI)/180 which is PI/2.
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The arc length is equal to the angle times the radius. This assumes the angle is expressed in radians; if it isn't, convert it to radians first, or incorporate the conversion (usually from degrees to radians) in to your formula.
The length of the arc is equal to the radius times the angle (angle in radians). If the angle is in any other measure, convert to radians first. (radians = degrees * pi / 180)
well you don't get many preotractors in radians so just measure the angle in degrees. To convert this to radians you then have to divide by 180 then times by pi. This is because 180 degrees= pi radians.
As 180° = a straight angle = π radians → to convert degrees to radians divide by 180° and multiply by π radians → 315° = 315° ÷ 180° × π radians = 7π/4 radians ≈ 5.50 radians.
It doesn't make sense to convert between units of length, and units of temperature (or angle, whichever you mean). In the case of an angle, the farther away you are from the center, in a rotational movement, the greater is the distance. The calculation is especially simple in radians: distance (along the circumference) = radius x angle. If your angle is in degrees, convert to radians first.