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`

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=((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=((95\°)/(360\°))(20\ cm)\\\\AB=((191)/(72))(20\ cm)\\\\AB=5.27\ cm`