How do you convert 5 radians to degree?

1 Answer
Omar T.
Nov 7, 2015

#~~286#

Explanation:

To convert radians to degrees, simply multiply it by #180/pi# to get your answer.

Why? Because #1pi# is #180# degrees, and #2pi# is #360# degrees. To convert one unit to another, I would want to cancel out the units. Just like how i want to convert 1 minute to seconds, I would do #cancel(1m)*60/cancel(1m)# leaving me with #60# seconds.

Example:
If you have #pi# and you wanted to convert that to degrees, you would want to cancel out the #pi# by multiplying it by #180/pi#.

so #cancel(pi)*180/cancel(pi)# is 180.

On the other hand, if you want to convert degrees to radians, multiply your degrees by #pi/180# so the degrees cancel out.

Example:
If I wanted to convert 150 degrees to radians:

#150*pi/180 =(5pi)/6~~2.61#

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