Because it contains all the geometrical features applicable to geometry from the properties of a triangle and other polygons to the mystery of pi which has never been finally determined.
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Geometry is study because book. Number good? Shape. I like Circle. That how geometry is study.
Learning geometry is important because it embraces algebra, trigonometry, Pythagoras' theorem, properties of a triangle, properties of a circle, properties of 2 dimensional and 3 dimensional shapes, coordinated geometry .... and so much much more
An arc is just part of the circumference of a circle.
In geometry it is called the "Great Circle".
Yes. It is the curve of a circle.