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Sphere - Revision history
2026-04-20T19:46:09Z
Revision history for this page on the wiki
MediaWiki 1.44.2
https://wikimd.com/index.php?title=Sphere&diff=6326962&oldid=prev
Prab: CSV import
2025-02-18T12:15:32Z
<p>CSV import</p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 12:15, 18 February 2025</td>
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Prab
https://wikimd.com/index.php?title=Sphere&diff=5290599&oldid=prev
Prab: CSV import
2024-02-25T14:43:01Z
<p>CSV import</p>
<p><b>New page</b></p><div>'''Sphere'''<br />
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A '''[[Sphere]]''' is a [[geometric shape]] in three-dimensional [[space]] that is the surface of a completely round ball. It is analogous to a two-dimensional [[circle]].<br />
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== Definition ==<br />
In [[mathematics]], a sphere is defined as the set of all points in three-dimensional space that are located at a distance ''r'' (the [[radius]]) from a given point (the [[center]]). The longest straight line segment that connects any two points on the sphere passes through the center and its length is twice the radius.<br />
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== Properties ==<br />
A sphere has several important properties. It has the smallest [[surface area]] among all surfaces enclosing a given volume and it encloses the largest volume among all closed surfaces with a given surface area. The sphere is the only shape that has these two properties.<br />
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== Equations ==<br />
The standard equation of a sphere in [[Cartesian coordinates]] is ''x''² + ''y''² + ''z''² = ''r''². In [[spherical coordinates]], the equation is simply ''ρ'' = ''r'', where ''ρ'' is the radial distance from the origin.<br />
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== Applications ==<br />
Spheres have many applications in various fields such as [[physics]], [[engineering]], and [[astronomy]]. For example, the shape of planets and stars are often approximated as spheres due to their gravitational fields.<br />
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== See also ==<br />
* [[Circle]]<br />
* [[Ellipsoid]]<br />
* [[Oblate spheroid]]<br />
* [[Prolate spheroid]]<br />
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== References ==<br />
<references /><br />
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[[Category:Geometry]]<br />
[[Category:Surfaces]]<br />
[[Category:3D shapes]]<br />
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{{stub}}</div>
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