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Number of rectangles to cover a circle

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After searching around I found this is similiar to the Gauss Circle but different enough (for me anyway) that it doesn't translate well.

I have a circle, radius of 9 that I need to completely cover with rectangles 4 x 8. What is the minimum number of whole rectangles required.My own calculations concluded it's between 8 and 11. I found this by setting the maximum number of panels equal to (diameter of circle / panel height)x(diameter of circle/panel width) to obtain 10.125 rounded up to 11 I do think I could safely use 10 due to waste.I then found the minimum by setting the number of panels equal to (area of circle/area of panel). This gave me an answer of 7.95, rounded up to 8.

Is there a better way to do this?


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