That point is the center of the sphere. The distance from the center to the points on the sphere is called the radius of the sphere. A segment can't be a line. A line is defined to go on to infinity is both directions. It has no endpoints, yet segments are defined to have two distinctive endpoints.
Geometry is founded in the study of the Earth.
The sort of geometry you need in daily is FLAT or planar geometry. So this was the first sort of geometry developed. To complete this problem mark off 32 inches on a yardstick or with tape on the sidewalk or a floor. Use a protractor to draw an angle of 35 degrees from the end of your tape mark. There should be quite a few triangles that will work.