User:Hans G. Oberlack/QC 1.1415927
Shows the largest circle within a square.
General case
[edit]Base is the square of side length s.
The radius r of the inscribed circle has the length
Segments in the general case
[edit]0) The side length of the base square
1) Radius of the inscribed circle
Perimeters in the general case
[edit]0) Perimeter of base square
1) Perimeter of the circle
Areas in the general case
[edit]0) Area of the base square
1) Area of the inscribed circle
Centroids in the general case
[edit]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
[edit]In the normalised case the area of the base is set to 1.
Segments in the normalised case
[edit]0) Segment of the base square
1) Segment of the inscribed circle
Perimeters in the normalised case
[edit]0) Perimeter of base square
1) Perimeter of the inscribed circle
Areas in the normalised case
[edit]0) Area of the base square
1) Area of the inscribed circle
Centroids in the normalised case
[edit]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
[edit]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: