Question

a regular polygon has an apothem length 10, find the area

Answer 1

9 sided polygon*

Answer 2

the forumla goes this way Area = (perimeter x apothem length ) / 2

Answer 3

how do I find the perimeter?

Answer 4

perimeter = number of sides x length of one side

Answer 5

would that be 9x10? or do I need to find the length of one side?

Answer 6

wrong 10 is ur apothem length .. yes u can solve it by finding a side as well but here is a trick if ur good wid trigonometry this formula is a killer one Area = apothem length ^2 x number of sides x tan (180/number of sides)

Answer 7

so in ur case 10 ^2 x 9 x tan(180/9) is the area 133.869

Answer 8

that makes a lot of sense. thank you