Answer:
Area of polygon[20 sides] = 1,140 inch² (Approx.)
Explanation:
Given;
Number of sides = 20 sides
Length of each side = 6 inch
Find:
Area of polygon[20 sides]
Computation:
Perimeter of polygon[20sides] = 20 x Length of each side
Perimeter of polygon[20sides] = 20 x 6
Perimeter of polygon[20sides] = 120 inch
Apothem[Shortest distance from center] = S / 2tan[180/n]
Apothem[Shortest distance from center] = 6 / 2tan[180/20]
Apothem[Shortest distance from center] = 6 / 2tan[9]
Apothem[Shortest distance from center] = 18.94
Apothem[Shortest distance from center] = 19 inch (Approx.)
Area of polygon[20 sides] = [Perimeter x Apothem] / 2
Area of polygon[20 sides] = [120 x 19] / 2
Area of polygon[20 sides] = 1,140 inch² (Approx.)