# Polygon Problems

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: 111

- Polygon 42

Which polygon has 42 more diagonals than sides? - 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. - Six-sided polygon

In 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. - 6 regular polygon

It is given 6 side regular polygon whose side is 5 cm. Calculate its content area. Compare how many more cm^{2}(square centimeters) has a circle in which is inscribed the 6-gon. - Find the

Find the content of a regular 12 sided polygon, if its side a = 12 cm. - N-gon angles

What is the sum of interior angles 8-gon? What is the internal angle of a regular convex 8-polygon? - 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. - Regular n-gon

Which regular polygon have a radius of circumscribed circle r = 10 cm and the radius of inscribed circle p = 9.962 cm? - Rotatable tower

Rotatable tower situated in the city center has 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 of the t - In a 2

In a thirteen sided polygon, the sum of five angles is 1274°, four of the eight angles remaining are equal and the other four are 18° less than each of the equal angles. Find the angles. . - Diagonals

What x-gon has 54 diagonals? - N-gon

How many diagonals has convex 11-gon? - Five-gon

Calculate the side a, the circumference and the area of the regular 5-angle if Rop = 6cm. - 9-gon

Sum of interiol angles of 9-gon is: - Hexagon

Draw a regular hexagon inscribed in a circle with radius r=8 cm. What is its perimeter? - Pentagon

Calculate the area of a regular pentagon, which diagonal is u=16. - Hexagon

Divide a regular hexagon into lines into nine completely identical parts; none of them must be in a mirror image (individual parts can only be rotated arbitrarily). - Hexagon

Calculate the regular hexagonal prism's surface whose base edge a = 12cm and side edge b = 3 dm. - Inscribed and described circle

Find the radii of a circle inscribed and circumscribed by a regular pentagon whose side measures 3 cm. - 6-gon

Perimeter of regular hexagon is 113. Calculate its circumradius (radius of circumscribed circle).

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