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User:Hans G. Oberlack/FS H

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The semicircle as base element.

General case

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Segments in the general case

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The radius of the semicircle

Perimeters in the general case

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Perimeter of base semicircle

Areas in the general case

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Area of the base semicircle

Centroids in the general case

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By definition the centroid points of a base shape are x_0=0 and y_0=0. Relatively is the lower left point of the of the base of the semicircle at

Normalised case

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In the normalised case the area of the base semicircle is set to 1.
So

Segments in the normalised case

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Segment of the base semicircle

Perimeter in the normalised case

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Perimeter of base semicircle:

Area in the normalised case

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Area of the base semicircle is by definition

Centroids in the normalised case

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Positions of the lower left point of the semicircle:

Identifying number

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Apart of the base element there is no other shape allocated. Therefore the integer part of the identifying number is 0.
The decimal part of the identifying number is the decimal part of the sum of the perimeters and the distances of the centroids in the normalised case.



So the identifying number is: