Question

when converting radians to degrees why do you cancel the Pi symbol? and for degrees to radians why do you keep the pi symbol?

Answer 1

Explanation:

π = ratio of arc length of half circle to the radius, which is appr. 3.14 ==> π rad = degree of half circle = 180°

Hence, to convert x rad to deg:

`(x \: rad)/(\pi \: rad) * 180 {}^(o)`

If the x rad contains π, it will be eliminated by the denominator's π

to convert x° to rad:

`\frac{ {x}^(o) }{ {180}^(o) } * \pi \: rad`

from the above formula, there will be π in the result