Wednesday, March 13, 2013

How to graphconvert degrees into radians and vice versa?

Question: How do to convert  degrees to radians and vice versa?

In order to turn a degree as simple as 90 into a radian of π/2

The main thing that you need to know when trying to change degrees into radians, is that the degrees has to be multiplied by the formula π /180. 

For example: Convert 48 degrees into a radian?
Step 1: Multiply
π/180* 48
=48π/180 
Step 2: Simplify
48π/180  / 4/4
= 12π/45

So the finale answer is 12π/45

In order to find howto convert radians into degrees all that you have to do is flip π/180 over which will make 180/π.

For example: Convert 3π/2 into degrees? 
Step 1: Multiply 
3π/2 * 180/ π

Step 2: cancel out the two π's, which will leave...
3/2* 180

Step 3: Multiply 3 and 180 
540/2

Step 4: Divide
270

The final answer is 270

Try it yourself:

1. Convert 126 degrees  into a radian?

2. Convert 4π/2 into degrees?

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