How do you convert (8pi)/3 into degrees?

1 Answer
Aug 3, 2015

we need to use pi=180 to convert

Explanation:

(8*pi)/3 is a radian measure which needs to be converted to degrees. For that we need a simple conversion factor: pi=180

Now we are going to setup an equation with the conversion factor. A nice way to do this is to take advantage of the proportionality of the problem. So we set the equations up like this:

(8*pi)/3=x in the same proportion as pi=180

(8*pi)/3/pi=x/180

we want to simplify this by changing the division to a multiplication

(8*pi)/3*(1/pi)=x/180

now we simplify the pi/pi = 1

8/3=x/180

to solve we simply undo the division on x with a multiply

180*(8/3)=x

x=480
(we changed the direction at the end to follow convention)

NOTE: always put the same units in the same fraction
(rad)/(rad)=(degrees)/(degrees)

and that makes us happy. :)