The obvious answer is 58 degrees. It is very close to one radian (57.3 degrees), which is an angle such that the length of the arc that it subtends is the same as the radius.
To find the arc length given the radius and angle measure in degrees, you must first convert the angle from degrees to radians, using the formula: Degrees = Radians X (pi/180). Then take the radians and the radius that you are given, and put them into the formula of Q = (a/r) where Q is the angle in radians, a is the arc length, and r is the radius. When you have this, simple multiply both sides by the radius to isolate the a. Once you do this, you have your answer.
One radian is about 57.3 degrees
40 degrees.
One fourth of a circle is 90 degrees.
An arc second is 1/60th of an arc minute and 1/3600th of a degree. This means there are 60 arc seconds in an arc minute, and 3600 arc seconds in a degree.
It is certainly possible. All you need is a the second circle to have a radius which is less than 20% of the radius of the first.
Arc units are measured in Degrees with seconds. A conversion to Time would be: 0 min 4 seconds = 0 degrees 1 second 0 min 4 sec = 0o 01' Simplified then would be for every 4 seconds of time you would gain one second of a degree of arc.
To convert from degrees to radians, you need to multiply by pi/180. Since one arc-second is equal to 1/3600 of a degree, the conversion factor in this case is pi/180/3600.
The two units are not compatible. A light year is a measure of distance. An arcsecond is a measure of arc or angle. To convert arc to length, you must first know the distance to what you are measuring.
6 degrees. There are 360 degrees in a full circle, and therefore for every second the hand moves through one sixtieth of a circle.
To find the arc length, you also need to know the radius (or diameter) of the arc. The arc length is then found by finding the circumference of the full circle (2xPIxradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).
0.01 arc second is one hundredth of an arc-second.An arc-second is one sixtieth of an arc-minute. (There are about 30 arc-seconds across the visible diameter of the Sun or Moon).An arc-minute is one sixtieth of a degree.A degree is one three hundred and sixtieth of a circle.So a hundredth of an arc-second is a good resolution for a fine telescope.If you have an image of the Moon where the moon is 3000 pixels wide (probably twice the width of your computer screen) then 0.01 arc-second is one pixel.
there are 60 seconds in one minute. An arc minute is 1/60 degree and an arc second is 1/3600 degree
360
1 minute of arc is one sixtieth, or about 0.01667, of a degree. The sine of of 0.01667 degrees is about 0.0002909.
One eighth of a full arc.