Rectangles to Cover a Circle

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The Rectangles to Cover a Circle calculator computes the number of rectangles needed to cover a circle based on the diameter of the circle and the length and width of the rectangles.

INSTRUCTIONS: Choose units and enter the following:

(D) Diameter of Circle
(L) Length of Rectangle
(W) Width of Rectangle

Rectangles to Cover a Circle (nR): The results the following:

(n) Number of rows of rectangles
(nRec) Total Number of Rectangles using partial rectangle on the end (trimmings)
(TL) Total Length of trimmed rectangles
(xTrim) Total Number of Rectangles if only whole rectangles can be used.
(Rn) Length of individual rows of rectangles.

Note: the length value above is returned in meters. However, this can be automatically converted to compatible units via the pull-down menu.

The Math / Science

The Rectangles to Cover a Circle algorithm steps down a circle and computes the number of rows based on the width and then the ideal length of each row to cover the circle fully. This algorithm provides BOTH the number of rectangles need:

assuming the reuse of trimmed rectangle pieces and,
assuming trimmed pieces are discarded.

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