# A circle's center is at #(9 ,1 )# and it passes through #(5 ,4 )#. What is the length of an arc covering #(pi ) /3 # radians on the circle?

##### 2 Answers

Equation circle centered in a generic point is

In our case

Circle pases by

So the radius is

Now: we know that a circle has a lenght of

If

The length of the arc is :

#### Explanation:

We have a circle with center

Let ,

Let ,

We know that the radius of circle is

#r=CP#

So, the length of the arc is :