# 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: 177

- Each side

Each side of a regular polygon is 5.2 m, and its perimeter is 36.4 m. Find the number of sides of a polygon. - A sample

A sample of 10 randomly selected students revealed the following grades in Business Statistics first test (in a marking scale of 0 to 100): 79, 63, 60, 45, 55, 58, 59, 62, 40, 68. Examine the data using groups and presenting: a) the Histogram of the absol - Perimeter 63114

The perimeter of the regular octagon is 8u + 16 cm. Calculate the side if u = 0.5 cm. - 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? - Corresponding 33321

The following data on the height and the corresponding number of pupils were found in the measurement of 63 pupils: 159cm-1,161cm-1,162cm-2,163cm-1,164cm-2,165cm-2,166cm-3,167cm-2,167cm-3 6,172cm-7,173cm-9,174cm -5,175cm-2,177cm-1,178cm-4,179cm-2,181cm-1, - Competition 33041

The long-term volleyball tournament is played on a one-on-one basis. So far, 11 teams have entered the competition. How many matches will be lost when two teams unsubscribe? - Other's 31461

There are 13 guests at each other's party. How many clicks will you hear? - Ten persons

Ten persons, each person, make a hand to each person. How many hands were given? - Diagonals 8397

Does a hexagon have 275 diagonals? - Circumference of a polygon

Calculate the length of the side and the regular 13-gon if you have given its circumference o = 771. - 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. - Components 2565

The component has the shape of regular decagons 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? - 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? - 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. - 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°. - Sum of inner angles

Prove that the sum of all inner angles of any convex n-angle equals (n-2).180 degrees.

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