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Geometry Level 2

Lets see how far did you learn from geometry.

If a circle has the same unit, perimeter and area of a triangle, quadrilateral, pentagon, hexagon, heptagon, octagon, and so on.... Then would a circle be considered a polygon?

Note:

1.) Assume that the (so on....) in the sentence continues the sequence of polygons.

2.) Assume that all these polygons being mentioned above have the same unit, perimeter and area to the circle even if it is impossible.

Absolutely Yes Maybe? ( 50-50 decision) Absolutely No Doubtful (85% - No and 15% - Yes)

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1 solution

Stephard Donayre
Nov 27, 2014

Here is a definition of a polygon. "In geometry, a polygon /ˈpɒlɪɡɒn/ is traditionally a plane figure that is bounded by a finite chain of straight line segments closing in a loop to form a closed chain or circuit. These segments are called its edges or sides, and the points where two edges meet are the polygon's vertices (singular: vertex) or corners. The interior of the polygon is sometimes called its body. An n-gon is a polygon with n sides. A polygon is a 2-dimensional example of the more general polytope in any number of dimensions."Just read and understand. Does a circle have corners? vertex? straight lines? and edges? I don't think so....

Source: http://en.wikipedia.org/wiki/Polygon

If a circle has the same unit, perimeter and area of a triangle ...

What do you mean by unit in that line?

Siddhartha Srivastava - 6 years, 6 months ago

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I put a unit there because I just want to destruct the knowledge of the solvers. You can see in the last part of the problem that I put there crazy and foolish questions in order to trick the solvers!... hahaha :)

Stephard Donayre - 6 years, 6 months ago

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