Question

anyone have questions ask me :D

Answer 1

I have one!

Answer 2

and what is it?

Answer 3

no you cannot go to the bathroom

Answer 4

How could you position 100 circles to intersect the maximum number of times?

Answer 5

your teacher must be a feather cuz i dont know that one

Answer 6

lol

Answer 7

lol

Answer 8

no ideas on how to start it?

Answer 9

I think it's a good question dinabina. Does the question say anything about radius of the circles; are they all of the same size?

Answer 10

Nothing that all it asks... thats why I am not sure where to begin.

Answer 11

same radius but different centers... I think that is used to throw me off tho...

Answer 12

well, the question is actually asking you, somehow, to determine the center!

Answer 13

centers*

Answer 14

I do know a circle intersects another circle twice

Answer 15

If all circles have the same radius, then they intersect maximum number of times, when you put each one in the top of the others.

Answer 16

Do you think this will be a formula answer?

Answer 17

Does my last answer make sense to you?

Answer 18

umm...they intersect maximum number of times?... no

Answer 19

What is an intersection?!

Answer 20

cross.. meet at a point

Answer 21

if you have circle 1 with the same radius as circle 2. And you draw circle with the same center as circle 2. Then they will have infinitely many intersection points; they actually intersect for all points in the two circles.

Answer 22

ok yes... that makes sense

Answer 23

That's only valid if they have the same radius.

Answer 24

If they are with different radii, then they will not intersect at all when they have the same center.

Answer 25

How are you figuring this out? Are these rules of circles?

Answer 26

Not really, just think about it. It's very clear.

Answer 27

ok so these are same radius different centers... how would I poistion 100 circles?

Answer 28

oh the question says they have to have different centers?!

Answer 29

Is this going to be a picture answer or a formula answer?.....
yeah same radius different centers.... but the question just says how would you position 100 circles to intersect the maximum number of times.

Answer 30

It was an a., b., c. type question. so I am not sure if it even pertains

Answer 31

I think the max will be if all of them intersect at the center of some other circle.

Answer 32

I would roughly say that each circuit has to intersect the others at two points.

Answer 33

each one of the other circuits at two points*

Answer 34

Is the question asking about the number of maximum intersection points?

Answer 35

no just how to position 100 circles to intersect the maximum number of times

Answer 36

Ok, as I say in a position such that each circuit would intersect twice with each one of the 99 remaining circuits.

Answer 37

I am not sure of that answers the question.

Answer 38

ok... I understand that....

Answer 39

What do you think polpak?

Answer 40

One sec

Answer 41

Take your time!

Answer 42

number of total points of intersection of n congruent circles
= 2C(n, 2)
100 circles intersect in 2C(100, 2) = 400 points



Does this look wack?

Answer 43

100 times 2 = 200 a circles intersects twice... ???

Answer 44

i hax a question

Answer 45

Ok, so I think for positioning them you just have to arrange their centers around some point at intervals of \(2\pi/100\) radians a distance less than r from that point (where r is the radius of each circle).

Answer 46

that will space them evenly at any rate.

Answer 47

i haz a question, can you answer it plzzz????

Answer 48

while still having each circle intersecting each other circle twice.

Answer 49

Oh wow... so would that formula be the answer or plug in the numbers

Answer 50

Thank you