Angles can't convert into lengths.
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Conversion of arc seconds to inches depends on the distance that is being measured. There are 360 degrees in a circle, 60 minutes per degree and 60 seconds per minute. The circumference of a circle is PI * diameter. So 1 arc second of a 1 foot diameter circle is equal to .000029 inches. (12 * PI inches diameter divided by (360*60*60))
The angle measure is: 90.01 degrees
The arc length divided by the radius is the angle in radians. To convert radians to degrees, multiply by (180/pi).
The two are not directly related, since degree is a measure of angles, and millimeters is a measre of length. For a circle arc, there is the relationship: (distance around the arc) = radius x angle However, you must first convert the angle to radians.
An arc second is a measurement of an angle, so you would need to know how far away the object is. From there, there are two ways to proceed: 1. Use a circle with the distance as the radius a. find the degree fraction (degrees/360; there are 3600 arcseconds in 1 degree) b. find the circumference of the circle and multiply by the degree fraction 2. Set up a triangle and use a trigonometric function.