Category:Angular Measure

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This category contains results about Angular Measure.
Definitions specific to this category can be found in Definitions/Angular Measure.

The usual units of measurement for angle are as follows:


Degree

The degree (of angle) is a measurement of plane angles, symbolized by $\degrees$.

\(\ds \) \(\) \(\ds 1\) degree
\(\ds \) \(=\) \(\ds 60\) minutes
\(\ds \) \(=\) \(\ds 60 \times 60 = 3600\) seconds
\(\ds \) \(=\) \(\ds \dfrac 1 {360}\) full angle (by definition)


Minute

The minute (of angle) is a measurement of plane angles, symbolized by $'$.

\(\ds \) \(\) \(\ds 1\) minute
\(\ds \) \(=\) \(\ds 60\) seconds
\(\ds \) \(=\) \(\ds \dfrac 1 {60}\) degree of angle (by definition)


Second

The second (of angle) is a measurement of plane angles, symbolized by $''$.

\(\ds \) \(\) \(\ds 1\) second
\(\ds \) \(=\) \(\ds \dfrac 1 {60}\) minute of angle (by definition)
\(\ds \) \(=\) \(\ds \dfrac 1 {60 \times 60} = \dfrac 1 {3600}\) degree of angle


Radian

The radian is a measure of plane angles symbolized either by the word $\radians$ or without any unit.

Radians are pure numbers, as they are ratios of lengths. The addition of $\radians$ is merely for clarification.


$1 \radians$ is the angle subtended at the center of a circle by an arc whose length is equal to the radius:

Radian.png

Subcategories

This category has only the following subcategory.

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