Practice problems of the of a diagonal of a polygon
Number of problems found: 18
- Ten persons
Ten persons, each person makes a hand to each person. How many hands were given?
- Each with each
Five pupils from 3A class played table tennis. How many matches did they play with each other?
- 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.
What x-gon has 54 diagonals?
- Hexagon ABCDEF
In the regular hexagon ABCDEF, the diagonal AE has a length 8cm. Calculate the circumference and the hexagon area.
- Diagonals in diamond
In the rhombus is given a = 160 cm, alpha = 60 degrees. Calculate the length of the diagonals.
- Polygon 42
Which polygon has 42 more diagonals than sides?
Calculate the length of the rhombus's diagonals if its side is long 5 and one of its internal angles is 80°.
Calculate the area of a regular pentagon, which diagonal is u=16.
We have a square with a side 56 cm. We cut corners to make his octagon. What will be the side of the octagon?
- Similarity n-gon
9-gones ABCDEFGHI and A'B'C'D'E'F'G'H'I' are similar. The area of 9-gon ABCDEFGHI is S1=190 dm2 and the diagonal length GD is 32 dm. Calculate area of the 9-gon A'B'C'D'E'F'G'H'I' if G'D' = 13 dm.
How many diagonals have convex 11-gon?
- Hexagon rotation
A regular hexagon of side 6 cm is rotated through 60° along a line passing through its longest diagonal. What is the volume of the figure thus generated?
- Quadrilateral pyramid
In a regular quadrilateral pyramid, the side edge is e = 7 dm, and the diagonal of the base is 50 cm. Calculate the pyramid shell area.
- Regular hexagonal prism
Calculate the volume of a regular hexagonal prism whose body diagonals are 24cm and 25cm long.
- A prism
A prism with an altitude of 15cm has a base in the form of a regular octagon inscribed in a square 10cmx10cm. Find the volume of the prism.
- Octahedron in a cube
The largest octahedron that can be placed inside a cubical box with sides equal to 72?
Polygon practice problems. Diagonal - practice problems.