Cross Section Of A Sphere

The shortest distance between two points on a sphere is along the.
Cross section of a sphere. A sphere from greek σφαῖρα sphaira globe ball is a geometrical object in three dimensional space that is the surface of a ball viz analogous to the circular objects in two dimensions where a circle circumscribes its disk. For example the rutherford cross section is a measure of probability that an alpha particle will be deflected by a given angle during a collision with an atomic nucleus cross section is typically denoted σ and is expressed in terms of the transverse area that the. Like a circle in a two dimensional space a sphere is defined mathematically as the set of points that are all at the same distance r from a given.
What is the shape of the cross section formed by slicing the sphere above with the single plane through all three. What cross section shapes can be formed by moving points a b and c anywhere along the surface of the sphere being. The intersection of a plane figure with a sphere is a circle.
Meridians passing through the north and south poles are also great. A cross section of a sphere is just a circle so you would use the equation a pi r 2 where r is the radius of the circle created by the cross section. Cross sections are usually parallel to the base like above but can be in any direction.
This cross section is a circle x 2 y 2 1. How is a sphere is different form an ellipse. When sliced by a horizontal plane at any height the hemisphere and vase have equal cross sectional areas.
The cross section of a sphere is most often a circle. Cross sections of sphere. The blue curve on the sphere illustrates the cross section z 0 on the unit sphere x 2 y 2 z 2 0.
Similarly the vase s cross section is a radius circle with a radius circle cut out so its area is as claimed. Such a circle will be found when the. Cross sections solved problem.