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.
- Inner angles
The inner angles of the triangle are 30°, 45° and 105° and its longest side is 10 cm. Calculate the length of the shortest side, write the result in cm up to two decimal places.
- Regular n-gon
In a regular n-angle polygon the internal angle is 144 degrees. Find the number n indicating the number of sides of this polygon.
Boys run kite on a cable of 86 meters long. What is the kite altitude, if the angle from the horizontal plane is 77°?
How many diagonals has convex 29-gon?
- 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?
Perimeter of regular hexagon is 41. Calculate its circumradius (radius of circumscribed circle).
Sum of interiol angles of 9-gon is:
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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