## Solution to: Men on the Moon

From the first part of this puzzle,
we know that the radius of the circle with a circumference of the cable's length is 1/(2×*pi*) meters less than the moon's radius.
In the figure shown below, therefore

x=r- 1/(2×pi)

and

cos(a) =x/r= (r- 1/(2×pi)) /r

and, when taking *a* in radians,

y= (a/ (2×pi)) × (2×pi×r) =a×r.

Since *r*=3476000/2=1738000 meters, we can calculate that *y* is approximately 744 meters,
which is the distance that the cable should be laid north of the moon's equator to settle the problem of the lacking 1 meter of cable.

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