13. Reasoning In 2016, the world's oldest
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We are given square with side length l. The largest circle that we can cut from that square has diameter equal to that side. This circle is called inscribed circle.
When cutting circle from square paper we will be left with some extra paper. Area of that extra paper can be calculated using formula:
area_of_extra_paper = area_of_square - area_of_circle
Now we can insert formulas:
This is area of extra paper when we cut one circle. When we cut multiple circles we have:
Where:
N = number of circles
This formula is roughly:
When cutting circle from square paper we will be left with some extra paper. Area of that extra paper can be calculated using formula:
area_of_extra_paper = area_of_square - area_of_circle
Now we can insert formulas:
This is area of extra paper when we cut one circle. When we cut multiple circles we have:
Where:
N = number of circles
This formula is roughly: