Assuming the moon to be a sphere, the formula to find its surface area is 4/3*pi*r^3 where r is the radius of the moon.
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According to NASA, the surface area of the moon is approx 37,932,000 square kilometres. .
Mass times acceleration due to the moon's gravity. The latter is 1.622 m/s2.
No , not with the surface being with so many craters .
When half of the lighted side of the moon's surface can be seen, the moon looks like a half circle filled in. Any less than that, and the moon appears crescent-shaped. I suspect that you're not describing what you're imagining.
It would be hard to find a line of symmetry on a moon, as it is likely to be irregularly shaped.