# How do you convert #-3.5# to degrees?

##### 1 Answer

use the conversion

#### Explanation:

-3.5 is a radian measure which needs to be converted to degrees.

for that we need a simple conversion factor:

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:

to solve we simply undo the division on

now it is a matter of how many decimals. Let us say that we are using the standard 3.14 approximation and need two decimal places.

(we changed the direction at the end to follow convention)

this should make sense because 3.5 is a little bigger than 3.14 and 200 is a little bigger than 180. And don't forget the sign!

NOTE: always put the same units in the same fraction

and that makes us happy. :)