# Geometric Shapes

Geometric shapes are fundamental figures in mathematics and can be defined by their specific characteristics and properties. Here are descriptions of some common geometric shapes:

1. Circle: A circle is a perfectly round shape with all points on its boundary equidistant from its center. It is defined by its radius (the distance from the center to any point on the boundary) or diameter (twice the radius).

2. Square: A square is a four-sided polygon with all sides equal in length and all angles equal to 90 degrees. It has four right angles and opposite sides are parallel and congruent.

3. Rectangle: A rectangle is a four-sided polygon with opposite sides parallel and equal in length. It has four right angles, but its adjacent sides may have different lengths.

4. Triangle: A triangle is a three-sided polygon. It is defined by its three vertices (corner points) and the three line segments connecting these vertices. Triangles can be classified into different types based on their angles (acute, right, obtuse) or sides (equilateral, isosceles, scalene).

5. Pentagon: A pentagon is a five-sided polygon. It has five vertices and five angles. The interior angles of a regular pentagon are 108 degrees each.

6. Hexagon: A hexagon is a six-sided polygon. It has six vertices and six angles. The interior angles of a regular hexagon are 120 degrees each.

7. Octagon: An octagon is an eight-sided polygon. It has eight vertices and eight angles. The interior angles of a regular octagon are 135 degrees each.

8. Sphere: A sphere is a three-dimensional geometric shape that is perfectly round in shape, similar to a circle in two dimensions. It is defined by its radius, which is the distance from its center to any point on its surface.

9. Cube: A cube is a three-dimensional shape with six square faces. All faces are congruent, and each vertex connects three edges. It has 12 edges and eight vertices.

10. Cylinder: A cylinder is a three-dimensional shape with two circular bases that are parallel and congruent. The bases are connected by a curved surface. It has three components: two circular bases and the curved surface.

These descriptions provide a basic understanding of some common geometric shapes. Each shape has its own unique properties and applications in various fields of study, such as mathematics, engineering, and architecture.

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