n a regular polygon, each interior angle measures 120°. If each side of the regular polygon measures 4.8 cm, find the perimeter of the polygon in centimeters.

Question

In a regular polygon, each interior angle measures 120°. If each side of the regular polygon measures 4.8 cm, find the perimeter of the polygon in centimeters.

Answer 1

28.8 cm

6(4.8) = 28.8

It's a hexagon with 6 sides

Perimeter = 6 x length of a side

Area = (3sqr3)4.8/2 = 7.2sqr3 = about 12.47076581 square centimeters= about 12.5 cm^2

sum of interior angles formula is 180(n-2) where n = the number of sides

for a hexagon with 6 sides the sum of angles = 4(180) = 720. divide by 6 = 120 degrees for each interior angle