I can only think of one myself, it explains the gist of the question. In my experience, INSCRIBED shapes or figures lie INSIDE of something else; while CIRCUMSCRIBED figures are the OUTSIDE shape in the same instance.
As they are interchangable depending on which of the shape(s) you're discussing, it is also not necessary (though often assumed) that one of the shapes be a circle.
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A pentagon is a five sided geometrical figure; if the pentagon fits exactly inside some other geometrical figure (such as a circle) then it can be said to be inscribed in that figure.
4.3 is between 3.75 and 4.85
No. Five sixths is not between one half and three fourths.
16 has five factors.
assuming this is a regular pentagon (all five sides are equal length) the center is the intersection of the intersection of perpendicular bisectors of each side and should also be the center of the circle in which it is inscribed