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The radius of a circle inscribed in a regular hexagon equals the length of one side of the hexagon.
all the points in the inscribed circle are also in the bigger circle. If all the points in the outside circle are the set O ... and all the points in the inner circle are the set I... Then I is a subset of O, just like a venn diagram
The circumcenter of a triangle is the center of the circle drawn outside the triangle with all three vertices touching its circumference.
An inscribed circle.
If a parallelogram is inscribed in a circle then it must be a cyclic quadrilateral.
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
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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.
Nothing particular. One of the properties of regular polygons - however many sides - is that it can have a circle inscribed in it.
The radius of a circle inscribed in a regular hexagon equals the length of one side of the hexagon.
I assume you mean a polygon inscribed in a circle. It is regular if all its sides and angles are equal.
If you know the length of the side of the (regular) hexagon to be = a the radius r of the inscribed circle is: r = a sqrt(3)/2
circumscribed means the polygon is drawn around a circle, and inscribed means the polygon is drawn inside the circle. See related links below for polygon circumscribed about a circle and polygon inscribed in a circle.
The circle has a smaller area than the polygon.
usually: 1/2 b x h
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all the points in the inscribed circle are also in the bigger circle. If all the points in the outside circle are the set O ... and all the points in the inner circle are the set I... Then I is a subset of O, just like a venn diagram