What is polygon ?
A polygon can be defined as a flat or plane, two-dimensional closed shape with straight sides. It does not have curved sides.
Regular polygon :
A polygon having equal sides and equal angles is a regular polygon.
To find area of regular polygon, we use the formula
What is Apothem ?
A line from the center of a regular polygon at right angles to any of its sides.
Find the perimeter area of each regular polygon. Leave your answer in simplest form.
Example 1 :
Solution :
The given triangle must be a equilateral triangle, because it is regular polygon.
Perimeter of equilateral triangle = 3 x side
= 3(8)
Perimeter = 24 cm
Example 2 :
Solution :
Number of sides = 7
Perimeter of the shape = 7 x 13.9
= 97.3
Perimeter = 97.3 cm
Length of apothem = 14.4 cm
Example 3 :
Solution :
Number of sides = 8
Perimeter of the shape = 8 x 12
= 96 cm
Perimeter = 96 cm
Length of apothem = 14.5 cm
Example 4 :
Solution :
Number of sides = 5
Perimeter of the shape = 5 x 7.5
= 37.5 cm
Perimeter = 37.5 cm
Length of apothem = 5.1 cm
Example 5 :
Solution :
Number of sides = 9
Perimeter of the shape = 9 x 12
= 108 cm
Perimeter = 108 cm
Length of apothem = 16.5 cm
Example 6 :
Solution :
Number of sides = 6
Perimeter of the shape = 6 x 10
= 60 cm
Perimeter = 60 cm
Length of apothem = 5√3 cm
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM