- A circle \(C\) has centre \(( 2,5 )\)
Given that the point \(P ( 8 , - 3 )\) lies on \(C\)
- find the radius of \(C\)
- find an equation for \(C\)
- Find the equation of the tangent to \(C\) at \(P\) giving your answer in the form \(a x + b y + c = 0\) where \(a , b\) and \(c\) are integers to be found.