CONCEPT PREVIEW Fill in the blank to correctly complete each sentence. One minute, written 1' , is ________________ of a degree.

Verified step by step guidance

1. Understand that one degree (1°) is divided into 60 minutes (1'). This is a standard unit of angular measurement.
2. Recognize that one minute (1') is a fraction of one degree, specifically 1 part out of 60 equal parts.
3. Express one minute as a fraction of a degree: \(1' = \frac{1}{60}\) of a degree.
4. This means that one minute is one-sixtieth of a degree, which is the precise relationship between minutes and degrees.
5. Therefore, the blank should be filled with 'one-sixtieth' or '\(\frac{1}{60}\)' to correctly complete the sentence.

Key Concepts

Degree and its Subdivisions

A degree is a unit of angular measurement divided into smaller parts for precision. One degree is subdivided into 60 minutes (denoted as 1'), and each minute is further divided into 60 seconds (denoted as 1"). This system allows for detailed measurement of angles.

Minute of Arc

A minute of arc, or one minute (1'), is a unit equal to 1/60th of a degree. It is commonly used in fields like astronomy, navigation, and surveying to express angles more precisely than whole degrees.

Notation and Symbols in Angular Measurement

Angular measurements use specific symbols: degrees (°), minutes ('), and seconds ("). Understanding these notations is essential for interpreting and converting between different units of angle measurement accurately.