Polygon practice 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: 224
- Polygon with x
All lines in the picture are perpendicular. Find the perimeter of the given polygon.
- Regular hexagon
Calculate the perimeter of a regular hexagon with each side 5 cm.
- Diagonals
What is the number of diagonals of a decagon?
- A stop
A stop sign is in the shape of an 8-sided polygon (regular octagon) in which each side is 12 1/2 in. What is the perimeter?
- Garden 39
Elina's garden has 5 sides. Each side is 8 m long. How many meters of fencing material does she need around the garden?
- Apothem
Find the ratio between the two perimeters, the two areas, and two corresponding apothems of two regular hexagons whose sides are 2-3/4 inches and 4-1/8 inches.
- Regular polygons
The number of sides of two regular polygons differ by 1. The sum of the interior angles of the polygons is in the ratio of 3:2. Calculate the number of sides of each polygon.
- The ratio 21
The ratio between the number of sides of two regular polygon is 1:2 and ratio of sum of their interior angles is 2:3. Find their number of sides.
- Two similar 2
Two similar polygons have corresponding sides 15 inches and 6 inches. If the area of the first is 2700 square inches, what is the area of the second?
- One side 4
One side of a regular octagon is 12 inches. Find the apothem and its area.
- Minimum interior angle
What is the minimum interior angle possible for a regular polygon?
- Number of sides
Find the number of sides of a regular polygon whose each exterior angle has a measure of 45°.
- Quadrilateral angles in AP
The four angles of a quadrilateral form an arithmetic progression. If the common difference is 15°, then find all the angles.
- Four points
There are 4 nonlinear points. How many triangles can form by joining them?
- The apothem
The apothem of a regular hexagon is 5√3 inches. Find one of its sides and area.
- The volume 8
The volume of a right regular hexagonal prism is 187.2 cubic millimeters. The line segment that has a length of 2.6 millimeters begins at the center of the hexagon and ends at one side of the hexagon. 3 mm base. Find the height.
- Diagonals 8397
Does a hexagon have 275 diagonals?
- A pentagon
Find the perimeter of a pentagon whose sides measure 11/2 cm, 7/4 cm, 3 1/3 cm, 2 1/3 cm and 2 1/12 cm.
- 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.
- Determine 81587
Determine the type of polygon if the number of all diagonals is 90. (Write down the number of its pages.)
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