The Geometry of the Sphere

The geometry of a sphere involves studying its shape, surface, and properties. A sphere is a perfectly round object where every point on its surface is equidistant from its center. Unlike a circle, which is a flat, two-dimensional shape, a sphere is three-dimensional. Its surface is smooth and continuous, without edges or corners. Geometrically, the sphere's surface area and volume can be calculated using specific formulas involving its radius (the distance from the center to any point on the surface). Spheres are fundamental in understanding shapes like planets, bubbles, and many natural and man-made objects.