A circle's center is at #(7 ,5 )# and it passes through #(2 ,7 )#. What is the length of an arc covering #(3pi ) /4 # radians on the circle?
1 Answer
Aug 20, 2016
Length of arc
Explanation:
Let the radius be
Let the length of arc be
Let the centre point be
Let the point on the circumference be
To maintain precision to not convert to decimal at this point.
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Note that the length of arc for 1 radian is
So the length of