Question

The circumference of the circle below is 20 cm. What is the length of AB (the minor arc)?

Answer 1

Answer: $AB=5.27\ cm$

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:

$arc\ length=(\frac{central\ angle}{360\°})(circumference)$

In this case , according to the data given in the exercise, you know that:

$arc\ length=AB\\\\central\ angle=95\°\\\\circumference=20\ cm$

Therefore, susbtituting those values into the formula, you get that length of AB is the following:

$AB=(\frac{95\°}{360\°})(20\ cm)\\\\AB=(\frac{191}{72})(20\ cm)\\\\AB=5.27\ cm$