Abstract

The article proposes a method for finding the center and radius of the sphere circumscribed about a pyramid. The method is based on reducing the problem to finding the circumcenter and circumradius for a specially constructed triangle. The construction of this triangle is the same for all inscribed pyramids. For the calculation of radius minimal information about the pyramid is used---its height, the circumradius of its base and the distance from the circumcenter of the base to pyramid's height.

Keywords: Stereometry; problem solving; polyhedra; round figures; combination of figures.

Pages:  36$-$53     

Volume  XXIV ,  Issue  1 ,  2021