pic1) same circle and square that has the same area from different distances. |
pic2) |
pic3) The intersecting line is drawn in red, the two new circles drawn in green and the original circle drawn in white |
pic4)original circle: white, diameter of original circle: red intersecting circles: green, line splitting the diameter: blue. |
pic7) |
pic8 |
pic9)The new circle with a diameter(red) that is twice the value that our square will have. The diameter is split in two by the blue line. Now, because of the diameter length being twice the value that the squares side's will have(I will from now on call this length 's') the radii is exactly that length and both the blue line segments on each side of the red line are one radii and both of the red segments on each side of the blue line are one radii, so the one of the blue segments and one of the red segments starts to look like a corner of the square. |
pic10) The white circle is the first circle with diameter 2s that we drew and the purple circle is the second one we just recently drawn. I have extended the blue line from pic9 so that it intersects the purple circle and continues onward. The part of the blue line that exist inside the purple circle is, of course, the purple circles diameter. |
pic11) |
pic12) |
pic13) |
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