How do you calculate the angle i should rotate the whole circle

File: 2.jpg (131KB, 1278x742px) Image search: [Google]

131KB, 1278x742px

I tried it with drawing another circle from the center but it intersects at 2 points.

>jpg related.

>>249559
You have to zoom in to see it intersects at 2 points.

>>249556

https://www.youtube.com/watch?v=j-dce6QmVAQ&ab_channel=Numberphile

>>249564
try again

If you draw a triangle from the center of the big circle to the centers of the two small ones, then it'll be isosceles, and trigonometry tells us that the angle at the top is 2*asin(r/R) where R is the radius of the large circle and r is the radius of the small one. I don't fully understand what you're asking but that should help.

>>249614
the second circle doesn't exist. i want to place it at the perfect spot where it only touches at a single intersecting point.

>>249630
Oh, ok, well that's not too hard with some trig. The angle between lines from the centers of two equal-sized circles with radius r that go to the center of the big circle with radius R is 2asin(r/(R-r))

>>249693
shit. i forgot how to do math like that. i'll ask someone how to use that formula