The circular length of the arc = Pi/180 x angle in degrees x radius
L = Pi/180 x 1/3600 x 40 = 0.000193925 ft. = 0.00233 inches
Just slightly more than two-thousands of an inch.
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A second of arc.
An arc second is a measure of angular separation, not of distance. It is therefore an inappropriate unit for measuring the distance to a star.
there are 60 seconds in one minute. An arc minute is 1/60 degree and an arc second is 1/3600 degree
Area of sector: 38.485 sq ft Area of circle: 153.93804 sq ft Arc in degrees: (38.485/153.93804)*360 = 90.00114592 or about 90 degrees Arc in feet: 10.99557429 or about 11 feet
A degree of latitude is approximately 69 miles, and a minute of latitude ... At a latitude of 45 degrees, a degree of longitude is approximately 49 miles. Minute of arc at equator = 1naut.mile = 6080 feet1 second of arc at equator = 101 1/3 feet.At latitude 'w', the above quantities have a multiplying factorcos w.(101.3333) cos w feet per second of longitudeAt a latitude of 60 degrees (=w)1minute=3040'1second=50 2/3 '