The spelling of "minute of arc" is unique due to the use of two words that have different pronunciations. "Minute" is pronounced /ˈmɪnɪt/ while "arc" is pronounced /ɑːk/. Therefore, "minute of arc" is spelled with "minute" pronounced as its own word, not as a homophone for "minute" meaning small. Additionally, "of" is inserted between the two words to clarify that we're talking about a fraction of an arc, not a small amount of time. The resulting spelling is "minute of arc" /ˈmɪnɪt əv ɑːk/.
A minute of arc is a unit of measurement used in mathematics, geometry, and astronomy to describe the size or angular distance between two points or objects. It is denoted by the symbol "′" (pronounced "prime") and is derived from the Latin word "minutus," meaning "small" or "minute."
In mathematics and geometry, a minute of arc is equal to 1/60th of a degree. A full circle is divided into 360 degrees, and each degree can be further divided into 60 minutes. Therefore, there are 60 minutes of arc in one degree.
In the field of astronomy, a minute of arc is often used to measure the apparent size or separation between celestial objects. For example, the diameter of the Sun is approximately 32 minutes of arc. This unit of measurement allows astronomers to describe and calculate precise angular distances and dimensions in the vast expanse of space.
The minute of arc is also used in navigation and cartography to represent small distances on maps and charts. By converting real-world distances to their equivalent in minutes of arc, accurate representations can be created on paper or electronic display.
In summary, a minute of arc is a small unit of measurement used to quantify angular distances or sizes. It is commonly employed in mathematics, geometry, astronomy, navigation, and cartography to describe precise measurements and dimensions.