Table of Contents
What is the surface of a polygon?
The area of a polygon is defined as the area that is enclosed by the boundary of the polygon. In other words, we say that the region that is occupied by any polygon gives its area….Area of Regular Polygons.
| Names of Regular Polygon | Area of Regular Polygon |
|---|---|
| Equilateral Triangle | Area = (√3 ×(length of a side)2)/4 |
| Square | Area = (length)2 |
What is the area around a polygon called?
perimeter
It is the total distance around a polygon. It can be found by adding together all the sides of the polygon. Example 5: Area of a square is given as 100 cm2. Find its perimeter.
What are the names of the parts of a polygon?
The parts of polygons include the sides, interior angles and exterior angles. There is also the vertex, the spot where two sides meet, and the diagonals, or lines connecting vertices.
What is Apothem of a polygon?
The apothem (sometimes abbreviated as apo) of a regular polygon is a line segment from the center to the midpoint of one of its sides. Equivalently, it is the line drawn from the center of the polygon that is perpendicular to one of its sides. The word “apothem” can also refer to the length of that line segment.
Is a square a polygon?
Non-Euclidean geometry In spherical geometry, a square is a polygon whose edges are great circle arcs of equal distance, which meet at equal angles. Unlike the square of plane geometry, the angles of such a square are larger than a right angle.
What is the polygon shape?
A polygon is a flat two-dimensional shape with straight sides that are fully closed. The sides must be straight, not curved. However, polygons can have any number of sides. The word polygon comes from the Greek “polugonos”. This is because a polygon has many different angles and corners within its shape.
What are the 3 main components of polygons?
Polygon terminology Polygons are straight-sided shapes (3 or more sides), defined by three-dimensional points (vertices) and the straight lines that connect them (edges). The interior region of the polygon is called the face. Vertices, edges, and faces are the basic components of polygons.
How do you name the vertices of a polygon?
The endpoints of the sides of polygons are called vertices. When naming a polygon, its vertices are named in consecutive order either clockwise or counterclockwise. Consecutive sides are two sides that have an endpoint in common. The four‐sided polygon in Figure could have been named ABCD, BCDA, or ADCB, for example.
Is apothem and radius the same thing?
The apothem of a regular polygon is a segment connecting the center of the polygon to a midpoint of one of the sides, and the radius of a regular polygon is a segment connecting the center of the polygon to one of the vertices.
How do you find the radius of a polygon?
The radius of a regular polygon is the distance from the center to any vertex. It will be the same for any vertex. The radius is also the radius of the polygon’s circumcircle, which is the circle that passes through every vertex.