A circle's center is at #(9 ,2 )# and it passes through #(5 ,2 )#. What is the length of an arc covering #(pi ) /3 # radians on the circle?
1 Answer
May 24, 2018
Explanation:
The distance between the center and any point on the circle is the radius. From the 2 points given in the description, we can determine that the radius
More formally, the distance between any two points is:
In this case:
The circumference of this circle is
The length of the arc is a portion of the total circumference. Since the total arc around the whole circle is
So, the length of the arc covering
that is: