What does the diameter of a sphere join?
any two points on the sphere
any two points on the sphere and contains the center <~my choice
any two points on the sphere and does not contain the center
the center and a point on the sphere
The diameter of a sphere joins any two points on the sphere and contains the center.
The diameter of a sphere joins any two points on the sphere and contains the center. To understand why the diameter connects any two points on the sphere, and contains the center, let's break it down.
1. Any two points on the sphere: A sphere is a perfectly round object with no edges or corners. Therefore, any two points you choose on the surface of the sphere can be connected by a straight line called a chord. This chord is the shortest path connecting the two points.
2. Contains the center: The center of a sphere is the point equidistant from all points on the surface. The diameter is a special chord that passes through the center and connects two points on the sphere's surface. It is the longest possible chord for a given sphere, and it bisects the sphere into two equal halves.
So, in summary, the diameter of a sphere joins any two points on the sphere while also passing through the center of the sphere.