Re: MIL MIL MIL!!!!!!!!!!!
<div class="ubbcode-block"><div class="ubbcode-header">Quote:</div><div class="ubbcode-body">In the end you end up always having to add one more conversion for MOA because unlike MILs it is not a measure of arc length.</div></div>
I'm afraid that turns out not to be the case.
<div class="ubbcode-block"><div class="ubbcode-header">Quote:</div><div class="ubbcode-body">One radian is the angle subtended at the center of a circle by an arc that is equal in length to the radius of the circle.</div></div>
From:
http://en.wikipedia.org/wiki/Radian
A milliradian is simply one-thousandths of that angle.
The length of arc subtended by an angle of one MOA is, at 100 yards, 1.047 inches. The length of arc subtended by an angle of one milliradian is 3.6 inches at 100 yards.
In both cases, we're talking about arc length, but the angles are so small that for all practical purposes involving shooting, we may simply treat the arc length as if it were a straight line.
It's perfectly possible to calculate the difference between the arc length and the length of a straight line across those arcs, which is known as the chord.
At 100 yards, the length of the flat surface on the target covered by an angle of one milliradian is 3.599999850000002 inches.
If you want to calculate that for yourself, the formula is:
c = 2 * r * sin(theta/2)
where
c = chord length (that's the length of the angle projected onto the flat surface of the target)
r = distance
theta = angle in radians
Note, however, that most handheld calculators will not calculate sin(.0005 radians) to sufficient precision to give you an accurate answer. You will need to find an online high-precision calculator.
So, the error from using the arc length instead of the chord length is 0.000004166666616672248 percent.
Even though I am an
Arcanamaven, that's an error I will ignore.
When shooting, if I can't hold it, I ignore it.