N-gon - examples

Examples of a regular polygon (polygon). Polygon is a closed part of the plane bounded by a broken line. Points which define a polygon are the polygon vertices. The number of vertices, sides and interior angles in a polygon is the same and this number specifies the name of the polygon: triangle, quadrangle, pentagon etc.
  1. Tetrahedral pyramid
    jehlanctyrboky What is the surface of a regular tetrahedral (four-sided) pyramid if the base edge a=23 and height v=8?
  2. Regular 5-gon
    5gon_2 Calculate area of the regular pentagon with side 11 cm.
  3. Pentagon
    5gon Calculate the area of regular pentagon, which diagonal is u=14.
  4. Kites
    drake Boys run kite on a cable of 86 meters long. What is the kite altitude, if the angle from the horizontal plane is 77°?
  5. Tower
    HexagonalPyramid_4 The top of the tower is a regular hexagonal pyramid with base edge 9.2 meters long and a height 9.6 meters. How many m2 of sheet is required to cover the top of the tower if we count 12% of the sheet waste?
  6. Octagon
    8gon We have a square with side 98 cm. We cut the corners to make his octagon. What will be the side of the octagon?
  7. Hexagon
    hexagon There is regular hexagon ABCDEF. If area of the triangle ABC is 19, what is area of the hexagon ABCDEF? I do not know how to solve it simply....
  8. Hexagon A
    hexagon Calculate area of regular hexagon inscribed in circle with radius r=7 m.
  9. 4side pyramid
    ihlany Calculate the volume and surface of 4 side regular pyramid whose base edge is 4 cm long. The angle from the plane of the side wall and base plane is 60 degrees.
  10. n-gon
    ngon_1 Gabo draw n-gon, which angles are consecutive members of an arithmetic sequence. The smallest angle is 70° biggest 170°. How many sides have Gabo's n-gon?
  11. Octahedron - sum
    8sten On each wall of a regular octahedron is written one of the numbers 1, 2, 3, 4, 5, 6, 7 and 8, wherein on different sides are different numbers. For each wall John make the sum of the numbers written of three adjacent walls. Thus got eight sums, which also.
  12. n-gon II
    x-gon_1 What is the side length of the regular 9-gon circumscribed circle of radius 13 cm?
  13. n-gon
    x-gon What is the side length of the regular 5-gon inscribed in a circle of radius 11 cm?
  14. Pentagon
    5gon_1 Within a regular pentagon ABCDE point P is such that the triangle is equilateral ABP. How big is the angle BCP? Make a sketch.
  15. Pentagonal pyramid
    pyramid-pentagon Calculate the volume of a regular 5-side (pentaprism) pyramid ABCDEV; if |AB| = 7.9 cm and a plane ABV, ABC has angle 23 degrees.
  16. Hexagon - MO
    6uholnik_nepravidelny The picture shows the ABCD square, the EFGD square and the HIJD rectangle. Points J and G lie on the side CD and is true |DJ|
  17. Hexagon
    sestuholnik Draw a regular hexagon inscribed in a circle with radius r=6 cm. What is its perimeter?
  18. Nine-gon
    9gon_1 Calculate the perimeter of a regular nonagon (9-gon) inscribed in a circle with a radius 20 cm.
  19. N-gon
    ngon How many diagonals has convex 29-gon?
  20. Glass mosaic
    6gon How many dm2 glass is nessesary to produc 50 slides of a regular 6-gon, whose side has length 7 cm? Assume that cutting glass waste is 14%.

Do you have interesting mathematical example that you can't solve it? Enter it and we can try to solve it.



To this e-mail address we will reply solution; solved examples are also published here. Please enter e-mail correctly and check whether you don't have a full mailbox.