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 :
Name of the shape = pentagon, length of apothem = 7.3 cm and side length = 10.6 cm
Solution :
A pentagon is any polygon that has five sides and five angles.
Number of sides = 5
Perimeter of pentagon = 5 x 10.6
= 53 cm
Perimeter = 53 cm
Length of apothem = 7.3 cm
Example 2 :
Name of the shape = triangle, length of apothem = 14 cm and side length = 28√3 cm
Solution :
Number of sides of triangle = 3
length of apothem = 14 cm and
side length = 28√3 cm
Perimeter = 3(28√3)
= 84√3 cm
Example 3 :
Name of the shape = 7-gon, length of apothem = 21.8 cm and side length = 21 cm
Solution :
Number of sides = 7
length of apothem = 21.8 cm and
side length = 21 cm
Perimeter = 7(21)
= 147 cm
Example 4 :
Name of the shape = octagon, length of apothem = 14.1 cm and side length = 11.7 cm
Solution :
Number of sides = 10
length of apothem = 14.1 cm and
side length = 11.7 cm
Perimeter = 8(11.7)
= 93.6 cm
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM