Difference between revisions of "Measure"

Latest revision as of 09:45, 11 July 2007

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In mathematics, measure can mean the amount of degrees in an angle, the length of a line segment, or a function that assigns a number to subsets of a given set.

The measure of $\overline{AB}$ is indicated by $AB$ , without the bar on top. If $\overline{AB}\cong\overline{CD}$ , then $AB=CD$ .

The measure of $\angle ABC$ is indicated by $\mbox{m}\angle ABC$ . If $\angle ABC\cong\angle DEF$ , then $\mbox{m}\angle ABC=\mbox{m}\angle DEF$ .

The measure of an angle can expressed in degrees or in radians.

The measure of an arc of a given circle is given by the measure of the central angle subtended by it.

The measure of a set is known as the set's cardinality. If $S=\{-2,\,\pi,\,7\}$ , then the cardinality of set $S$ is $3$ .

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 {{stub}}
-In [[mathematics]], '''measure''' can mean the amount of [[degree]]s in an [[angle]], the [[length]] of a [[line segment]], or a [[function]] that assigns a [[number]] to [[subset]]s of a given [[set]].
+In [[mathematics]], '''measure''' can mean the amount of [[degree (geometry) | degree]]s in an [[angle]], the [[length]] of a [[line segment]], or a [[function]] that assigns a [[number]] to [[subset]]s of a given [[set]].
 == Line Segments ==
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 The measure of <math>\angle ABC</math> is indicated by <math>\mbox{m}\angle ABC</math>. If <math>\angle ABC\cong\angle DEF</math>, then <math>\mbox{m}\angle ABC=\mbox{m}\angle DEF</math>.
-The measure of an angle can expressed in [[degree]]s or in [[radian]]s.
+The measure of an angle can expressed in [[Degree (geometry) | degree]]s or in [[radian]]s.
+== Circular arcs ==
+The measure of an [[arc]] of a given [[circle]] is given by the measure of the [[central angle]] [[subtend]]ed by it.
 == Sets ==
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 == See Also ==
+* [[Measure theory]]
 * [[Counting measure]]
 * [[Euler measure]]