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Summary

Description
English: Largest circle in a square
Date
Source Own work
Author Hans G. Oberlack

Shows the largest circle within a square.

General case

Base is the square of side length s.
The radius r of the inscribed circle has the length

Segments in the general case

0) The side length of the base square
1) Radius of the inscribed circle

Perimeters in the general case

0) Perimeter of base square
1) Perimeter of the circle

Areas in the general case

0) Area of the base square
1) Area of the inscribed circle

Centroids in the general case

Centroid positions are measured from centroid point of the base shape
0) Centroid positions of the base square:
1) Centroid positions of the inscribed circle:

Normalised case

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

Segments in the normalised case

0) Segment of the base square
1) Segment of the inscribed circle

Perimeters in the normalised case

0) Perimeter of base square
1) Perimeter of the inscribed circle

Areas in the normalised case

0) Area of the base square
1) Area of the inscribed circle

Centroids in the normalised case

Centroid positions are measured from the centroid point of the base shape
0) Centroid positions of the base square:
1) Centroid positions of the inscribed circle:

Identifying number

Apart of the base element there is only one other shape allocated. Therefore the integer part of the identifying number is 1.
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:

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
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23 December 2021

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Date/TimeThumbnailDimensionsUserComment
current23:37, 22 December 2021Thumbnail for version as of 23:37, 22 December 2021475 × 475 (10 KB)Hans G. OberlackUploaded own work with UploadWizard

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