sector of a circle
A sector is a fraction of the interior of a circle, described by a central angle . If the sector becomes a complete circle.
If the central angle is and the radius of the circle is then the area of the sector is given by
This is obvious from the fact that the area of a sector is times the area of the circle (which is ). Note that, in the formula, is in radians.
Remark. Since the length of the arc of the sector is , the area of the sector is , which is equal to the area of a triangle with base and the height .
Title | sector of a circle |
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Canonical name | SectorOfACircle |
Date of creation | 2013-03-22 13:10:20 |
Last modified on | 2013-03-22 13:10:20 |
Owner | CWoo (3771) |
Last modified by | CWoo (3771) |
Numerical id | 6 |
Author | CWoo (3771) |
Entry type | Definition |
Classification | msc 51-00 |
Synonym | sector |