Polygon practice problems - page 4 of 12
Number of problems found: 227
- Polygon Diagonals Sides
The number of diagonals of a given polygon is 88 more than the number of its sides. How many sides does this polygon have - N-gon angles
What is the sum of interior angles 8-gon? What is the internal angle of a regular convex 8-polygon? - Six-sided polygon
There is a six-sided polygon. The first two angles are equal, the third angle is twice (the equal angles), two other angles are trice the equal angle, while the last angle is a right angle. Find the value of each angle. - Irregular pentagon
A rectangle-shaped, 16 x 4 cm strip of paper is folded lengthwise so that the lower right corner is applied to the upper left corner. What area does the pentagon have? - Irregular
Calculate the area and perimeter of the garden that was created from a rectangular plot measuring 10 by 20 meters after transferring one corner measuring 6 by 7 meters. The separated rectangular plot has parallel sides to the main plot. Did the perimeter - 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. John makes the sum of the numbers written on three adjacent walls for each wall. Thus got eight sums, which al - Circle and hexagon
Calculate the radius of a circle whose circumference is 8.7 cm longer than the inscribed regular hexagon's circumference. - 6-gon
The perimeter of a regular hexagon is 154. Calculate its circumradius (radius of a circumscribed circle). - Roof 8
How many liters of air is under the tower's roof, which has the shape of a regular six-sided pyramid with a 3,6-meter-long bottom edge and a 2,5-meter height? Calculate the supporting columns occupy about 7% of the volume under the roof. - Rotatable tower
The rotatable tower situated in the city center has the ground shape of a regular polygon. If the tower is rotated by 18° 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 - Glass mosaic
How many dm² glasses are necessary to produce 97 slides of a regular 6-gon, whose side has a length of 21 cm? Assume that cutting glass waste is 10%. - Decadal - flower bed
The castle park includes a flower bed in the shape of a regular decagon with an area of 432.8 m². Determine the distance between the adjacent vertices of the flower bed. - Triangular pyramid
A regular tetrahedron is a triangular pyramid whose base and walls are identical equilateral triangles. Calculate the height of this body if the edge length is a = 8 cm. - Octagon perimeter area
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. - Component weight
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? - Polygon angle
A regular 15-angle is given. A triangle is formed if we connect points 3 and 7, 13 and 10. The vertices are 3 and 13, and the lines' intersections are 3.7 and 13.10. We are to determine the angle size formed by sides 3.7 and 13.10. These numbers indicate - Which
Which of the following numbers is the most accurate 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 - Heptagon perimeter
Calculate a regular heptagon's perimeter if its shortest diagonal length is u=14.5cm. - Hexagonal prism height
A container has the shape of a regular hexagonal prism with a base and a capacity of 0.5 dm2, which means three quarter-liter cups of water fill the brim. What is the height of a container? - Washers Glass Area Hexagon
How many dm² of organic glass is needed to produce 50 washers in the shape of a regular hexagon? The side is 8 cm long.
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