" How Do We Measure Arc Length ? "

Measuring Arc Length is very easy ! I know it may sound hard because of the word "Arc" but it isn't. To measure Arc Length , all you need to so is remember this formula :

       

Now, using the formula, lets use this circle to find out the Arc Length:

The first step to solving this is finding the angle measure and the radius. In this case the angle measure is 60 degrees. The radius in this case is 1, even though it is not labeled. 

The next stop is to plug in the angle measure and the radius into the formula. 

                                  So now you have :

                 Arc Length =   60  x 2 pi 1

                                       360

you can simplify  60  to  1    and you can also simplify 2 pi 1 to just 2pi by multiplying 2x1. 

                          360      6

                  Now you have :  1  x 2pi    =   2pi  

                                            6                    6

                Simplified you have :  pi 

                                                  3

See ! It was easier than it sounds ! Just remember the formula ! 

Now Try It Yourself :