Arc Seconds To Degrees Math

Type in your own numbers in the form to convert the units.

Arc seconds to degrees math. Use this page to learn how to convert between arc second and degree. The length of an arc depends on the radius of a circle and the central angle θ we know that for the angle equal to 360 degrees 2π the arc length is equal to circumference hence as the proportion between angle and arc length is constant we can say that. Note that rounding errors may occur so always check the results. The π has infinite decimal digits.

Degrees arc minutes and arc seconds as well as decimal degrees. The answer is 3599 99999712. The exact distance varies along meridian arcs because the figure of the earth is slightly oblate bulges a third of a percent at the equator. One degree has 60 arc minutes one arc minute has 60 arc seconds.

Since the measure of an arc equals the measure of its central angle we can determine arc length using the ratio of the arc s central angle to 360. There are two common forms. Conversion arcsecond to degree a second of arc or arcsecond is one sixtieth 1 60 of one arcminute. Positions are traditionally given using degrees minutes and seconds of arcs for latitude the arc north or south of the equator and for longitude the arc east or west of.

Given an arc measuring 60 the ratio would be 60 360 1 6. Inverse tangent calculator enter the tangent value select degrees or radians rad and press the button. 1 degree of arc. In terms of radians si unit this is π 648000 rad or approximately 4 848 137 x 10 6 rad.

A second of arc one sixtieth of this amount is roughly 30 metres 98 feet. A second of arc one sixtieth of this amount is roughly 30 metres 98 feet. For all calculations the π considered to be equal to 3 14159265358979323846. So the arc makes up 1 6 of the circumference of the circle.

An angle can be given like 32 27 40 or in decimal degrees like 32 4611. The exact distance varies along meridian arcs because the figure of the earth is slightly oblate bulges a third of a percent at the equator. With the subtraction and or signed angles it might be easier to convert each angle into seconds subtract and convert again into degrees minutes and seconds.