Question

Geometry help !

Answer 1

@CobaltThunder267 page 14 number 1

Answer 2

15 i mean

Answer 3

Hi

Answer 4

where is the problem ?

Answer 5

http://www.dljk8.net/userfiles/2/my%20files/mafs%20geo%20eoc%20review%20circles%20geometric%20measurenment%20and%20geometric%20properties%20-%20student.pdf?id=1113

Answer 6

really really easy. you just need to know the formula and plug in the values.

Answer 7

do you know the area of a sector formula ?

Answer 8

so do you mean page 15#1?

Answer 9

@matlee

Answer 10

\[A = \frac{ n }{ 360 }* \pi r^2\]

Answer 11

sorry! i was doing my science homework too

Answer 12

its the one with the hexagons

Answer 13

n is the degree of the sector the area you want to find

Answer 14

so it is page 14 then,

Answer 15

yes page 14 of the packet

Answer 16

What abdullah has stated is correct but that's not the real question being asked

Answer 17

I have to find the relationship between the are of the n-gon and the area of the circle as n increases

Answer 18

So, other than the obvious n=6 in the first one and n=12 in the last, what difference do you notice about the amount of space inside the circle the polygons take up?

Answer 19

http://prntscr.com/6xhqfe

i believe this is the question asked ?

Answer 20

no its the next page one

Answer 21

nah, page 14#1 its about the area of inscribed polygons wrt circles

Answer 22

oh ok my apologies.

Answer 23

So anyways, @matlee , other than the obvious n=6 in the first one and n=12 in the last, what difference do you notice about the amount of space inside the circle the polygons take up?

Answer 24

the spaces inside the shape decresea everytime the N goes up which im guessing is the sides

Answer 25

can you descibe what you mean by spaces inside the shape?

Answer 26

The triangles get smaller

Answer 27

ohk, so let's not look at those, they won't really help us

Answer 28

Wow ! i did not see those circles

Answer 29

sorry its 1 am for me been up all day

Answer 30

imagine we pull all the lines out and just have n=5 like my picture

Answer 31

the spaces in the circle decrease

Answer 32

it's ok, same here, (and when you get to page 15 you'll need alot more intensive help I suspect, it's a nightmare)

Answer 33

it turns more into a circle

Answer 34

And yea, that's what I was trying to get you to say

Answer 35

yes lol

Answer 36

that is the relation ship?

Answer 37

so is the area(amount of space taken up) by the 6-gon more or less than the area taken up by the 12-gon?

Answer 38

less

Answer 39

It is the relationship, we just need to put it into math words now

Answer 40

ok yea, so the 6-gon has a smaller area than the 12-gon, now which polygon would be a better approximation for the area of the circle?

Answer 41

12

Answer 42

gon

Answer 43

yea, so now the question is, what happens to this equation as we increase the sides of the polygon. So A is the area of the circle, B is the area of the polygon \[A-B\]

Answer 44

As N increases the area of the circle is more equal?

Answer 45

\[A \le B\]

Answer 46

?

Answer 47

ah, no actually, B can never be more than A

Answer 48

Oh ok so \[A\]

Answer 49

SO you already told me the more sides, the closer to being the actual circle right?

Answer 50

yes

Answer 51

\[A \ge B\]

Answer 52

so the question wants to know, what happens to the difference in area between the polygon and the circle when we keep adding sides to the polygon

Answer 53

Area gets more equal when N increases?

Answer 54

... yeA.... you have the idea, so I'm gonna say it and it will click.

Answer 55

dang i thought i had it

Answer 56

the difference between the area of the cicle and the area of the polygon goes to zero

Answer 57

you have the concept, just not the words

Answer 58

I dont understand

Answer 59

So that just means if there were no sides it would be a circle?