Practice problems of the polygon - page 2 of 11
Examples of a regular polygon (polygon). Polygon is a closed part of the plane bounded by a broken line. Points that 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.Number of problems found: 209
- Regular 62524
The floor in the game tower has the shape of a regular hexagon with a side length of 5m. How many pieces of parquet must be ordered to cover it if 25 pieces are needed for 1 square meter, and we must add a reserve of 10%? - Components 2565
The component is a regular decagon with a side of 2 cm. Its material weight of 1 m² of sheet metal is 24 kg. What is the weight of 200 components? - Consumption 17823
The roof has the shape of a regular hexagonal pyramid shell with a wall height of v = 5 m and a base edge of a = 4 m. Calculate the consumption of sheet metal to cover the roof, assuming 15% losses. - Diagonals 7029
The number of diagonals of a given polygon is 88 more than the number of its sides. How many sides does this polygon have - Calculate 2566
Calculate the area of a regular hexagon with side a = 2cm - The interior
The interior angle of a regular polygon is x. If x is 9° less than the average of 153° and 145°, find the number of sides of the polygon. - n-gon
Gabo draws 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? - Each with each
Five pupils from 3A class played table tennis. How many matches did they play with each other? - Interior angles - sum
For the sum s of the interior angles of a polygon, where n is the number of its sides, the relation s=(n−2)⋅180 degrees applies. How many sides does a polygon have if the sum of its interior angles is 900°? - 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. - Sum of inner angles
Prove that the sum of all inner angles of any convex n-angle equals (n-2).180 degrees. - Angles of a hexagon
Find the interior angles of a hexagon if the sizes of the angles form an arithmetic sequence, and the smallest angle is 70°. - Polygon 42
Which polygon has 42 more diagonals than sides? - 9-gon
The sum of interior angles of 9-gon is: - Diagonals
What x-gon has 54 diagonals? - N-gon
How many diagonals have convex 30-gon? - Right-angled 66344
From a square with a side of 4 cm, we cut four right-angled isosceles triangles with right angles at the square's vertices and with an overlap of √2 cm. We get an octagon. Calculate its perimeter if the area of the octagon is 14 cm². - Quarter-liter 3380
A container has the shape of a regular hexagonal prism with a base with a capacity of 0.5dm2, which three quarter-liter cups of water fill to the brim. What is the height of a container? - Candy - MO
Gretel deploys different numbers to the vertex of a regular octagon, from one to eight candy. Peter can then choose which three piles of candy to give Gretel others retain. The only requirement is that the three piles lie at the vertices of an isosceles t - Which
Which of the following numbers most accurately area of a regular decagon with side s = 2 cm? (A) 9.51 cm² (B) 20 cm² (C) 30.78 cm² (D) 31.84 cm² (E) 32.90 cm2
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