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.
- Children pool
The bottom of the children's pool is a regular hexagon with a = 60 cm side. The distance of opposing sides is 104 cm, the height of the pool is 45 cm. A) How many liters of water can fit into the pool? B) The pool is made of a double layer of plastic film.
- Hexagonal prism
The base of the prism is a regular hexagon consisting of six triangles with side a = 12 cm and height va = 10.4 cm. The prism height is 5 cm. Calculate the volume and surface of the prism!
How many diagonals has convex 29-gon?
Boys run kite on a cable of 86 meters long. What is the kite altitude, if the angle from the horizontal plane is 77°?
- Octahedron - sum
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.
- Tetrahedral pyramid
What is the surface of a regular tetrahedral (four-sided) pyramid if the base edge a=23 and height v=8?
Within a regular pentagon ABCDE point P is such that the triangle is equilateral ABP. How big is the angle BCP? Make a sketch.
Draw a regular hexagon inscribed in a circle with radius r=6 cm. What is its perimeter?
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....
- Hexagon A
Calculate area of regular hexagon inscribed in circle with radius r=7 m.
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?
- N-gon angles
What is the sum of interior angles 18-gon? What is the internal angle of a regular convex 18-polygon?
Sum of interiol angles of 9-gon is:
Perimeter of regular hexagon is 41. Calculate its circumradius (radius of circumscribed circle).
We have a square with side 98 cm. We cut the corners to make his octagon. What will be the side of the octagon?
- Regular 5-gon
Calculate area of the regular pentagon with side 11 cm.
- Rotatable tower
Rotatable tower situated in the city center has ground shape of a regular polygon. If the tower is rotated by 15.652° around its centerpiece it looks from the side same. Your task is to calculate at least how many vertices can have a ground plan view of th
- Polygon 42
Which polygon has 42 more diagonals than sides?
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?
- Octagon from rectangle
From tablecloth rectangular shape with dimensions of 4 dm and 8 dm we cuts down the corners in the shape of isosceles triangles. It thus formed an octagon with area 26 dm2. How many dm2 we cuts down?
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