1. A vertex C of an equilateral triangle ABC is connected to a point P on the opposite side AB by a line segment. The point P divides AB in the ratio 3:5. The area of the smaller disc among the two inscribed into APC and PBC triangles is 36. Find the area of the second disc.
2. A large sphere is on a horizontal field on a sunny day. At a certain time the shadow of the sphere reaches out a distance of 10 m from the point where the sphere touches the ground. At the same instant a meter stick (held vertically with one end on the ground) casts a shadow of length 2 m. What is the radius of the sphere in meters? (Assume the sun's rays are parallel and the meter stick is a line segment).