@skatepunk753951,
The radius is exactly where you need to look at inner and outer, also the 5785/64 was wrong as it was made assuming the distance between the bottom shelf and the hoop was 32, which is isn't, 32 is the distance shelf to shelf not shelf to hoop.
The radius is actually just triangles, we make a line from an end of the bottom shelf to the center of the circle, than take half the shelf for another line than the last line of the triangle is from the middle of the shelf to the center of the circle. Use the radius as a variable to find the lenght of all sides , use pythagorean theorem than solve the equation and you get your radius.