Finding intersection to two circles given one point

I hope I can explain this correctly, and I do have a picture of what I’m trying to do.

From the diagram this is what I’m trying to figure out. The odd symbol after the R, C2, and I is supposed to be a ?, but doesn’t come up in Microstation.

There is a known circle, with known Radius and center point, R and C1. There is also a known point in space, P, and a known line L. What I’d like to do is find the circle that goes through the unknown point I? and through P. The R? line from P is perpendicular to L.

What I’ve been doing is making a circle off of L running it down R? until it just touches around I?. This works, but is hard to make exact and sometimes hard to see. If I could find one of the three unknowns then making the circle would be easy. Is there an easier way to do this?

Closed as duplicate.

Gfactor
General Questions Moderator