Given :
Center of circle, C = ( 1 , 5 )
Point on circle, P = ( 5 , 1 )
To Find :
The radius of a circle.
Solution :
We know, radius of circle is the distance between center and point of circle.
Distance between two points A(p,q) and B(r,s) is given by :
[tex]D = \sqrt{(p-r)^2+(q-s)^2}[/tex]
So, distance between the points (1, 5) and (5, 1) is :
[tex]D = \sqrt{(1-5)^2+(5-1)^2}\\\\D = 5.66 \ units[/tex]
Therefore, radius of circle is 5.66 units.
Hence, this is the required solution.
