How do you change radions to degrees and degrees to radians?

Answer 1

360o = 2*pi*radians or 180o = pi*radians

Convert 7*pi/15 radians to degrees

1 radian = 180o/pi

Therefore: 7*pi/15 radians = 7*pi/15*180/pi = 84 degrees

Convert 84 degrees to radians

1o = pi/180 radian

Therefore: 84o = 84*pi/180 radians = 7*pi/15 radians.

Hint: pi always in radian and 180 always in degree. They are equivalents (not equal) to each other.

To convert from radians into degree, first erase radian by dividing the given value by pi radian and then multiply the ratio got by 180 deg.

Same way to convert from degree into radian, first erase degree by dividing the given value by 180 and then multiply the ratio got by pi radian.

So interesting! Is it not?