Here's a picture of a recent lunar eclipse...

What potion of the surface is in shadow?

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****SPOILER*****

Excluding light from sources other than directly from the Sun, it's between 85-90% in shadow. The entire back of the moon is in the shadow of the moon itself, while the front is about 75% covered by the shadow of the Earth.

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answer 

****SPOILER*****

Also, some additional parts are in shadow because of the irregularity of surface features, such as craters and mountains which cast shadows.

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answer 

****SPOILER*****

This is much more complicated than I thought when I posted this poll. It also depends on how you measure the "surface", i.e., if you measue the entire surface as a smooth sphere or as a fractal surface.

See: en.wikipedia.org/wiki/Fractal_

and

en.wikipedia.org/wiki/Surface_

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