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From earth the moon subtends an angle of 0.5 degrees. The ancient Greeks determined that the moon was approximately 60 earth radii away. Using simple trigonometry, the diameter of the moon would therefore be (60/2) tan(0.5°) = 0.26 earth diameters, or about 2000 miles. [The actual diameter is 2160 miles]. That makes the circumference 2000(pi) = 6300 miles [actual equatorial distance is 6786 miles].

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Q: How do you find the approximate length of the equator of the moon?
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