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Is a circle a polygon? Explain.

A) Yes, because it has straight sides and angles.
B) No, because it has a curved boundary and no angles.
C) Yes, because it has infinite sides and angles.
D) No, because it is not a closed shape.

1 Answer

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Final answer:

A circle is not a polygon because polygons must have a finite number of straight line segments and angles to form a closed figure, while a circle has a continuous curve with no angles.

Step-by-step explanation:

The question asks whether a circle is considered a polygon. A polygon is defined as a two-dimensional shape that is made up of a finite number of straight line segments connected to form a closed figure. A circle, on the other hand, is a shape with a continuous curve that is always the same distance from a central point. Therefore, the correct answer to the question is:

B) No, because it has a curved boundary and no angles.

Polygons must have straight sides and at least three angles, characteristics that a circle does not possess. Considering other answer options, a circle does have an infinite number of sides, in a manner of speaking, however, these are not straight sides, and a circle is indeed a closed shape despite not being a polygon.

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