Minute of Arc

A minute of arc, arcminute, or minute arc (MOA), is a unit of angular measurement equal to one sixtieth (1⁄60) of one degree (circle⁄21,600), or (π⁄10,800) radians. In turn, a second of arc or arcsecond is one sixtieth (1⁄60) of one minute of arc. Since one degree is defined as one three hundred and sixtieth (1⁄360) of a rotation, one minute of arc is 1⁄21,600 of a rotation. It is used in those fields which require a unit for the expression of small angles, such as astronomy, optometry, ophthalmology, optics, navigation and marksmanship.

The number of square arcminutes in a complete sphere is

or approximately 148,510,660.498 square arcminutes.

The arcsecond is 1⁄3,600 of a degree, or 1⁄1,296,000 of a circle, or (π⁄648,000) radians, which is approximately 1⁄206,265 radian.

To express even smaller angles, standard SI prefixes can be employed; in particular, the milliarcsecond, abbreviated mas, is used in astronomy.

Read more about Minute Of Arc:  Symbols and Abbreviations

Famous quotes containing the words minute of, minute and/or arc:

    “I make this in a warring absence when
    Each ancient, stone-necked minute of love’s season
    Harbours my anchored tongue....”
    —Dylan Thomas (1914–1953)

    “The rider, the birds that range
    From cloud to tumbling cloud,
    Minute by minute they change;”
    —William Butler Yeats (1865–1939)

    “If I am not, may God put me there; and if I am, may God so keep me.”
    —Joan Of Arc (c.1412–1431)