How do you convert radian measures to degrees?

2 Answers
Mar 19, 2018

"see explanation"

Explanation:

"to convert from "color(blue)"radians to degrees"

color(red)(bar(ul(|color(white)color(black)("degrees "="radians "xx180^@/pi)color(white)(2/2)|)))

"to convert from "color(blue)"degrees to radians"

color(red)(bar(ul(|color(white)(2/2)color(black)("radians "="degrees "xxpi/180^@)color(white)(2/2)|)))

Mar 19, 2018

Throug the equivalence pi=180º and de direct proportionality of arcs and angles. See examples

Explanation:

If we have 45º degrees convert to radians is easy

pi/x=180/45. Then x=(45pi)/180=pi/4. So 45º=pi/4 rad

By the other hand, if we have pi/3 rads, to convert to degrees, we use the same equivalence

pi/(pi/3)=180/y. Trasposing terms y=(180pi)/(3pi)=180/3=60º