Polygon ProblemsExamples 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 cm2 (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?
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. .
What x-gon has 54 diagonals?
How many diagonals has convex 11-gon?
Calculate the side a, the circumference and the area of the regular 5-angle if Rop = 6cm.
Sum of interiol angles of 9-gon is:
Draw a regular hexagon inscribed in a circle with radius r=8 cm. What is its perimeter?
Calculate the area of a regular pentagon, which diagonal is u=16.
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).
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.
Perimeter of regular hexagon is 113. Calculate its circumradius (radius of circumscribed circle).
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