Question

Find the area of the regular polygon. Round your answer to the nearest tenth.

https://lh5.ggpht.com/6N1SgKP374i8vEy_IaI0hdWE5a6PyP_nsD1UerMXZeJ2osPjmKRk1eo3SX7d1-5RaA9Ar5c=s85

Answer 1

is that 22.07 or 33.07 cm?

Answer 2

It's actually 10 in. on the bottom and 13.07 in. for the segment. Bad picture..

Answer 3

Okay... So if we were to draw a line from the every verticy to the center. What shape would be formed in each sector

Answer 4

a triangle

Answer 5

Wouldn't you agree each triangle would be the same area since all the sides are assumed the same length? How do you find the area of a triangle

Answer 6

a=b*h/2

Answer 7

Exactly, now how many triangle would be formed

Answer 8

is it 7?

Answer 9

Well we have 8 sides, it's only fair to think 8 triangles would be formed.

Answer 10

right. i miscounted that

Answer 11

What does this remind you of ?

Answer 12

i'm not sure how to answer that

Answer 13

woops 10 in...

Answer 14

well if we want to find the height h, couldn't we you the Pythagorean Theorem

Answer 15

use*

Answer 16

correct

Answer 17

a^2 + b^2 = c^2

Answer 18

aren't we trying to find the area?

Answer 19

h = sqrt(13.07^2 -5^2)

Answer 20

Well don't we need the height to find the area

Answer 21

alright

Answer 22

100+170.82=270.82

that would leave us with c being 16.46