Here's the graph:



You have the center.  You need the radius, which is the green line.

What you need is the distance formula from a point to a line:

The perpendicular distance from the point (x1,y1)to the line

Ax+By+C=0 is

d = 

Your line is 24x+7y-12 = 0

So you plug in A=24, B=7, C=-12 and (x1,y1) = (2,-3)

Substitute that into the formula for d.  That will be the radius r.

Then substitute (h,k) = (2,-3) and that value of r into



If you have any difficulty, tell me in the note form below and I'll
get back to you by email.

Edwin