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- Annulus_(mathematics) abstract "In mathematics, an annulus (the Latin word for "little ring", with plural annuli) is a ring-shaped object, especially a region bounded by two concentric circles. The adjectival form is annular (as in annular eclipse).The open annulus is topologically equivalent to both the open cylinder S1 × (0,1) and the punctured plane.The area of an annulus is the difference in the areas of the larger circle of radius R and the smaller one of radius r:The area of an annulus can be obtained from the length of the longest interval that can lie completely inside the annulus, 2*d in the accompanying diagram. This can be proven by the Pythagorean theorem; the length of the longest interval that can lie completely inside the annulus will be tangent to the smaller circle and form a right angle with its radius at that point. Therefore d and r are the sides of a right angled triangle with hypotenuse R and the area is given by:The area can also be obtained via calculus by dividing the annulus up into an infinite number of annuli of infinitesimal width dρ and area 2πρ dρ and then integrating from ρ = r to ρ = R:The area of an annulus sector of angle θ, with θ measured in radians, is given by:".
- Annulus_(mathematics) thumbnail Annulus_area.svg?width=300.
- Annulus_(mathematics) wikiPageExternalLink annulus.html.
- Annulus_(mathematics) wikiPageExternalLink annulusarea.html.
- Annulus_(mathematics) wikiPageID "356158".
- Annulus_(mathematics) wikiPageRevisionID "594287325".
- Annulus_(mathematics) hasPhotoCollection Annulus_(mathematics).
- Annulus_(mathematics) subject Category:Elementary_geometry.
- Annulus_(mathematics) subject Category:Geometric_shapes.
- Annulus_(mathematics) type Abstraction100002137.
- Annulus_(mathematics) type Attribute100024264.
- Annulus_(mathematics) type GeometricShapes.
- Annulus_(mathematics) type Property104916342.
- Annulus_(mathematics) type Shape105064037.
- Annulus_(mathematics) type SpatialProperty105062748.
- Annulus_(mathematics) comment "In mathematics, an annulus (the Latin word for "little ring", with plural annuli) is a ring-shaped object, especially a region bounded by two concentric circles.".
- Annulus_(mathematics) label "Annulus (mathematics)".
- Annulus_(mathematics) label "Cirkelring".
- Annulus_(mathematics) label "Coroa circular".
- Annulus_(mathematics) label "Corona circolare".
- Annulus_(mathematics) label "Corona circular".
- Annulus_(mathematics) label "Couronne (mathématiques)".
- Annulus_(mathematics) label "Kreisring".
- Annulus_(mathematics) label "Pierścień kołowy".
- Annulus_(mathematics) label "Кольцо (геометрия)".
- Annulus_(mathematics) label "حلقة (هندسة رياضية)".
- Annulus_(mathematics) label "环形".
- Annulus_(mathematics) sameAs Mezikruží.
- Annulus_(mathematics) sameAs Kreisring.
- Annulus_(mathematics) sameAs Corona_circular.
- Annulus_(mathematics) sameAs Koroa_zirkular.
- Annulus_(mathematics) sameAs Couronne_(mathématiques).
- Annulus_(mathematics) sameAs Corona_circolare.
- Annulus_(mathematics) sameAs Cirkelring.
- Annulus_(mathematics) sameAs Pierścień_kołowy.
- Annulus_(mathematics) sameAs Coroa_circular.
- Annulus_(mathematics) sameAs m.01zx6q.
- Annulus_(mathematics) sameAs Q45926.
- Annulus_(mathematics) sameAs Q45926.
- Annulus_(mathematics) sameAs Annulus_(mathematics).
- Annulus_(mathematics) wasDerivedFrom Annulus_(mathematics)?oldid=594287325.
- Annulus_(mathematics) depiction Annulus_area.svg.
- Annulus_(mathematics) isPrimaryTopicOf Annulus_(mathematics).
