WitrynaNow, total length is infinite,however, polygon is a closed figure, so its total length is obviously finite. Thus this contradicts that length is infinite, which in turn contradicts our original supposition. Therefore, at n-> ∞, length of each side tends to 0, ie each side becomes a point. Witrynar0 shape is a shape that was made in my thoughts when i was thinking about shapes with infinite perimeter but finite area. i was thinking if there could be a shape with …
Koch snowflake paradox: finite area, but infinite perimeter
Witryna11 cze 2024 · There is a maxiumum area that can be enclosed by a given perimeter, given by the circular shape as already noted, but there is no minimum area. But you might like to look at this curiosity. In the plane the perimeter of a figure based on the curves 1/x2 and -1/x2 and the axes is infinite yet the area of that figure is finite. Witryna2 maj 2024 · Write an abstract superclass encapsulating a shape: a shape has 2 abstract methods: one returning the perimeter of the shape, another returning the area of the shoe. It also has a constant field named PI. This class has two non-abstract subclasses: one encapsulating a circle, and the other encapsulating a rectangle. 博報堂 ラボ
Why do certain shapes with an infinite perimeter have a finite …
Witryna22 mar 2024 · Here's the graph of our two solutions (in the variable b) - the magenta (pink) one is the volume V = π (1 − 1/b), while the green one is the surface area, S.A. = 2π ln (b). We can see the volume is tending to a limit (π), while the surface area just keeps on getting bigger. So if we try to paint the outer surface with our π liters of ... WitrynaA seemingly bizarre question with an approachable solution.I misspoke about the history of the first proof of the harmonic sum diverging, this was in the 14t... Witryna1 wrz 2010 · The area of a rectangle is the length multiplied by the height., The perimeter is twice the length plus twice the height. So, a rectangle with a length of 9 units and a height of 1 until will have a perimeter of 20 units and an area of 9 square units. Another rectangle with a length of 6 units and a height of 4 units will also have a … 博報堂ラグビー部