A circle's center is at #(2 ,6 )# and it passes through #(3 ,1 )#. What is the length of an arc covering #(pi ) /3 # radians on the circle?
1 Answer
Feb 21, 2016
arc length = radius x arc angle
radius =
arc angle =
arc length =
Explanation:
First find the radius, r, using the equation of a circle:
The circle's centre is (2,6), so
The circle passes through (3,1), so at this point x=3 and y=1.
Inputting all this into the circle equation:
Therefore: r =
Now we can find the arc length using:
arc length = radius x arc angle
arc angle =
arc length =