# 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:

## Subcategories

This category has only the following subcategory.