# Practice problems of the polygon

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: 120

- Regular octagon pad

You need to make a pad in the shape of a regular octagon with a side length of 4 cm. What is the minimum diameter of the circle-shaped semi-finished product from which we make the pad, and what will be the percentage of waste? (Round the results to 1 deci - Ferdinand

Ferdinand went from place A to place B and from there to place C. A is 7.2 km from B and B is 11.7 km from C. Albert went from place A to place D and from there to place C. D is 9.1 km from A and C is 10.8 km from D. Who traveled more and by how much? - The perimeter 6

The perimeter of quadrilateral is 442.95 cm. If the three known sides measure 84.56 cm,132.77 cm, and 82.75 cm, how long is the fourth side? - Goat

The fenced flower bed has the shape of a regular hexagon. The tops are formed by fence posts. The fence around the flowerbed measures 60 m. A goat is tied to one of the pillars from the outside and grazes on the surrounding meadow (the goat should not ent - Dodecagon

Find the area of a regular dodecagon (n=12) if the radius of the circumscribed circle is 5 cm. - 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°. - Ten persons

Ten persons, each person makes a hand to each person. How many hands were given? - Find the

Find the content of a regular 12 sided polygon if its side a = 12 cm. - Inscribed and described circle

Find the radii of a circle inscribed and circumscribed by a regular pentagon whose side measures 3 cm. - 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 cm^{2} - Pentadecagon

Calculate the content of a regular 15-sides polygon inscribed in a circle with radius r = 4. Express the result to two decimal places. - Five-gon

Calculate the side a, the circumference and the area of the regular 5-angle if Rop = 6cm. - Annulus

Two concentric circles with radii 1 and 9 surround the annular circle. This ring is inscribed with n circles that do not overlap. Determine the highest possible value of n. - 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 - 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? - Each with each

Five pupils from 3A class played table tennis. How many matches did they play with each other? - Rectangle JANO

The rectangle has side lengths | JA | = 16cm and | AN | = 12cm. Point S is the center of the JO side and point T is the center of the JA side. Calculate the perimeter of the pentagon in cm. - The perimeter 2

The perimeter of the quadrilateral a = 1m b = 14/5m c = 2 3/10m d = 1 4/5m? - MO Z8–I–6 2018

In the KLMN trapeze, KL has a 40 cm base and an MN of 16 cm. Point P lies on the KL line so that the NP segment divides the trapezoid into two parts with the same area. Find the length of the KP line. - Diagonals of pentagon

Calculate the diagonal length of the regular pentagon: a) inscribed in a circle of radius 12dm; b) a circumscribed circle with a radius of 12dm.

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