Answer: [tex]AB=5.27\ cm[/tex]
Step-by-step explanation:
For this exercise it is important to remember that, by definition, the length of the minor arc can be calculated wih the following formula:
[tex]arc\ length=(\frac{central\ angle}{360\°})(circumference)[/tex]
In this case , according to the data given in the exercise, you know that:
[tex]arc\ length=AB\\\\central\ angle=95\°\\\\circumference=20\ cm[/tex]
Therefore, susbtituting those values into the formula, you get that length of AB is the following:
[tex]AB=(\frac{95\°}{360\°})(20\ cm)\\\\AB=(\frac{191}{72})(20\ cm)\\\\AB=5.27\ cm[/tex]
