A polygon is a two-dimensional shape with straight sides and angles. It is a closed figure with three or more sides. When you think of a polygon, you may think of a triangle, square, or rectangle. But what about a circle? Is a circle a polygon? To answer this question, we must explore the definition of a polygon. Polygons are determined by their number of sides, shape, and angles. Their sides must be straight, and their angles must be measured. Therefore, a circle is not a polygon because it has no straight sides or angles. It is a two-dimensional curved line. However, several other shapes are considered polygons, even though they do not have straight sides or angles. These shapes include the rhombus, trapezoid, and kite. By exploring the definition of a polygon and understanding the properties of circles, we can determine if a circle is a polygon.

**Is A Circle A Polygon?**

**A polygon is a shape with straight sides and corners. On the other hand, a circle is a shape with no straight sides or corners. Because a circle has no natural boundaries, some believe it cannot be classified as a polygon.**

**What Is A Polygon?**

A polygon is a two-dimensional shape with straight sides and angles. It is a closed figure with three or more sides. A figure with two or three sides is not a polygon. For example, a square is a polygon because it has four sides. A triangle is a polygon because it has three sides. As mentioned above, there are different types of polygons depending on their number of sides and their shape. A triangle is a three-sided polygon. A square is a four-sided polygon. There are polygons with five, six, seven, eight, and more than eight sides. The more sides a polygon has, the more complicated it becomes. When trying to determine what type of polygon you have, it is helpful to use a diagram.

**Properties Of A Polygon**

- A polygon has straight sides- every point on the polygon is connected to every other point by a straight line.
- A polygon has angles- each angle in a polygon is measured from one corner to another.
- A polygon has three or more sides- a figure with two sides is not a polygon, but a figure with three sides is.
- A polygon has closed boundaries- every point in the polygon is connected to at least one other point.
- A polygon can be drawn on a plane- the points you use to draw the boundaries of the polygon don’t have to be on the same plane.
- A polygon can be rotated- you can rotate it so that any angle becomes any other angle.
- A polygon has a specific shape- every type of polygon has a specific shape, even if it doesn’t have exactly three or four sides.
- Every point in a polygon is connected to every other point in the polygon- no point is isolated.
- A polygon has a specific size- the size of a polygon is determined by the number of sides and the angle at which those sides are drawn.
- A polygon can be translated- you can move it so that any point becomes any other point.

**Other Polygons With Curved Sides**

- The equilateral triangle has three straight sides and is the simplest polygon. It is a regular three-sided polygon and is one of the most basic shapes in geometry. This shape has been used since ancient times in many different cultures and is known for its beauty and simplicity. It has been used in everything from artwork to architecture and can be found in everyday items, from signs to flags. Moreover, it can also be found in nature in the form of crystals and honeycombs!
- The isosceles triangle has two straight sides and is shaped like a right angle. It is a two-sided regular polygon and can be seen in many everyday items, such as umbrellas and tents.
- The scalene triangle has one straight side and is shaped like a long, skinny triangle. It is a three-sided irregular polygon and can be seen in many natural formations, such as mountains and rainbows.
- The quadrilateral has four straight sides and is the most common type of square. It is a four-sided regular polygon and can be found in many different shapes, such as houses and boxes.
- The pentagon has five straight sides and is the most common circle type. It is a regular five-sided polygon and can be found in many different shapes, such as coins and cups.
- The hexagon has six straight sides and is the most common cube type. It is a regular six-sided polygon and can be found in many different shapes, such as cars and boxes.
- The heptagon has seven straight sides and is the most common octagon type. It is a seven-sided regular polygon and can be found in many different shapes, such as planets and stars.
- The octagon has eight straight sides and is the most common type of nonagon. It is a regular eight-sided polygon and can be found in many different shapes, such as shoes and eggs.
- The nonagon has nine straight sides and is the most complex polygon. It is a nine-sided irregular polygon and can only be created by adding consecutive numbers together (e.g., 9, 12, 15, 18).
- The decagon has ten straight sides and is the most complex polygon. It is a ten-sided irregular polygon and can only be created by adding consecutive numbers together (e.g., 10, 13, 16, 19).

**Conclusion**

By exploring the definition of a polygon, we can determine if a circle is a polygon. A polygon is a two-dimensional shape with straight sides and angles. A circle is a two-dimensional curved line. A circle has no straight sides or angles. Therefore, a circle is not a polygon. There are other two-dimensional shapes with curved sides that are considered polygons. These shapes include the rhombus, trapezoid, and kite.