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Mathematics LibreTexts

7: Regular Polygons and Circles

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A polygon 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. These segments are called its edges or sides, and the points where two edges meet are the polygon's vertices or corners.

  • 7.1: Regular Polygons
    A regular polygon is a polygon in which all sides are equal and all angles are equal, Examples of a regular polygon are the equilateral triangle (3 sides), the square (4 sides), the regular pentagon (5 sides), and the regular hexagon (6 sides).
  • 7.2: Circles
    The circle is one of the most frequently encountered geometric figures. Wheels, rings, phonograph records, clocks, coins are just a few examples of common objects with circular shape. The circle has many applications in the construction of machinery and in architectural and ornamental design.
  • 7.3: Tangents to the Circle
    A tangent to a circle is a line which intersects the circle in exactly one point.
  • 7.4: Degrees in an Arc
    The number of degrees in an arc is defined to be the number of degrees in the central angle that intercepts the arc.
  • 7.5: Circumference of a Circle
    The circumference of a circle is the perimeter of the circle, the length of the line obtained by cutting the circle and "straightening out the curves".
  • 7.6: Area of a Circle

Thumbnail: Regular hexagon with annotation. (CC0; László Németh via Wikipedia)


This page titled 7: Regular Polygons and Circles is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by Henry Africk (New York City College of Technology at CUNY Academic Works) via source content that was edited to the style and standards of the LibreTexts platform.

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