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  1. See Sides of a Regular Polygon for more information and formulas used to calculate their length.[1]
  2. In a regular polygon all its vertices lie on a circle.[1]
  3. In fact, this can be one of the definitions of a regular polygon: "All sides are the same length and all vertices lie on a circle".[1]
  4. Furthermore, if the shape is a regular polygon (all angles and length of sides are equal) then you can simply divide the sum of the internal angles by the number of sides to find each internal angle.[2]
  5. If your shape is a regular polygon (such as a square in the example above) then it is only necessary to measure one side as, by definition, the other sides of a regular polygon are the same length.[2]
  6. You can also work out the area of any regular polygon using trigonometry, but that’s rather more complicated.[2]
  7. Every regular polygon with n sides is formed by n isosceles triangles.[3]
  8. Use this calculator to calculate properties of a regular polygon.[4]
  9. Well, since we break a regular polygon into smaller triangles, we notice that the side of the polygon is the base of the triangle, and the apothem is the height of the triangle.[5]
  10. To find the area of a regular hexagon, or any regular polygon, we use the formula that says Area = one-half the product of the apothem and perimeter.[5]
  11. How to find the central angle of a regular polygon.[5]
  12. Understand how to solve for the radius, side length or apothem for any regular polygon.[5]
  13. We study two different objects attached to an arbitrary quadrangulation of a regular polygon .[6]
  14. Together with the property of equal-length sides, this implies that every regular polygon also has an inscribed circle or incircle that is tangent to every side at the midpoint.[7]
  15. regular polygon is denoted by its Schläfli symbol {n}.[7]
  16. To be a regular polygon, the flat, closed, straight-sided shape must also have another property.[8]
  17. You may have three of the features (two dimensions; straight sides; an interior and exterior) but still not have a regular polygon.[8]
  18. Only when all six conditions, outlined above, are present will you have a regular polygon.[8]
  19. Results of our scrutiny using the six identifying properties of regular polygons: △ C A T is a regular polygon, the simplest kind.[8]
  20. The applets below illustrate what it means for any polygon to be classified as a regular polygon.[9]
  21. A regular polygon, remember, is a polygon whose sides and interior angles are all congruent.[10]
  22. A central angle of a regular polygon is an angle whose vertex is the center and whose rays, or sides, contain the endpoints of a side of the regular polygon.[10]
  23. Thus, an n-sided regular polygon has n apothems and n central angles, each of whose measure is 360/n degrees.[10]
  24. Once you have mastered these new definitions, the formula for the area of a regular polygon is an easy one.[10]
  25. A simple regular polygon is a convex figure in which the sides form a boundary around a single enclosed space, and no internal angle exceeds one hundred and eighty degrees.[11]
  26. A complex regular polygon will be configured as a star, and the sides will intersect one another at various points.[11]
  27. regular polygon has, the smaller the external angle at each vertex will be, because the internal angle will be larger.[11]
  28. A line segment drawn from the centre to any vertex of a convex regular polygon is known as the radius of the polygon.[11]
  29. Within the last section, Steps for Calculating the Area of a Regular Polygon, step-by-step instructions were provided for calculating the area of a regular polygon.[12]
  30. Multiply the area of the right triangle by the number of right triangles that were made from the regular polygon.[12]
  31. With enough sides, a regular polygon tends toward a circle.[13]
  32. The polygon() function created for this example is capable of drawing any regular polygon.[14]
  33. The area of a regular polygon can be found using different methods, depending on the variables that are given.[15]
  34. The figure below shows one of the n n n isosceles triangles that form a regular polygon.[15]
  35. The area of a regular polygon can be determined in many ways, depending on what is given.[15]
  36. For regularPolygon(), the x and y coordinates specify the center of the regular polygon, relative to the top-left corner of the display area (x:0 y:0).[16]
  37. x Number The x-location in pixels of the center of the regular polygon, from left to right on the display.[16]
  38. or haven't been called, and where you're trying to draw the regular polygon fits within the coordinates of the display (400 x 400).[16]
  39. When drawing thick lines, the size of the regular polygon is relative to the center of the perimeter line.[16]
  40. A polygon having equal sides, i.e. equilateral and equal angles i.e. equiangular is known as a regular polygon.[17]
  41. An apothem is also used sometimes to find the area of a regular polygon.[17]
  42. The property of equal-length sides implies that every regular polygon also has an inscribed circle or incircle that is tangent to every side at the midpoint.[17]
  43. Welcome to the Regular Polygon website.[18]
  44. A regular polygon is an -sided polygon in which the sides are all the same length and are symmetrically placed about a common center (i.e., the polygon is both equiangular and equilateral).[19]
  45. Let be the side length, be the inradius, and the circumradius of a regular polygon.[19]

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  • [{'LOWER': 'regular'}, {'LEMMA': 'polygon'}]