Category:Definitions/Sectors

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This category contains definitions related to Sectors.
Related results can be found in Category:Sectors.


Sector of Circle

A sector of a circle is the region bounded by two radii and an arc.

In the words of Euclid:

A sector of a circle is the figure which, when an angle is constructed at the center of the circle, is contained by the straight lines containing the angle and the circumference cut off by them.

(The Elements: Book $\text{III}$: Definition $10$)


In the diagram below, $BAC$ is a sector.

Sector.png


Spherical Sector

A spherical sector is a surface of revolution of a sector of a circle $C$ rotated $360 \degrees$ around a diameter of $C$.

The surfaces of the spherical sector are:

the zone of $S$, formed by the arc of the sector
one or two conical surfaces formed by the radius or radii of the sector

where $S$ is the sphere formed as the surface of revolution of $C$ as it rotates $360 \degrees$ around the same diameter of $C$.

Subcategories

This category has the following 2 subcategories, out of 2 total.

Pages in category "Definitions/Sectors"

The following 3 pages are in this category, out of 3 total.