anyone have questions ask me :D

- anonymous

anyone have questions ask me :D

- Stacey Warren - Expert brainly.com

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- katieb

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- anonymous

I have one!

- anonymous

and what is it?

- myininaya

no you cannot go to the bathroom

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## More answers

- anonymous

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

- anonymous

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

- anonymous

lol

- anonymous

lol

- anonymous

no ideas on how to start it?

- anonymous

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?

- anonymous

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

- anonymous

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

- anonymous

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

- anonymous

centers*

- anonymous

I do know a circle intersects another circle twice

- anonymous

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.

- anonymous

Do you think this will be a formula answer?

- anonymous

Does my last answer make sense to you?

- anonymous

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

- anonymous

What is an intersection?!

- anonymous

cross.. meet at a point

- anonymous

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.

- anonymous

ok yes... that makes sense

- anonymous

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

- anonymous

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

- anonymous

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

- anonymous

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

- anonymous

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

- anonymous

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

- anonymous

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.

- anonymous

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

- anonymous

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

- anonymous

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

- anonymous

each one of the other circuits at two points*

- anonymous

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

- anonymous

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

- anonymous

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

- anonymous

I am not sure of that answers the question.

- anonymous

ok... I understand that....

- anonymous

What do you think polpak?

- anonymous

One sec

- anonymous

Take your time!

- anonymous

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?

- anonymous

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

- anonymous

i hax a question

- anonymous

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).

- anonymous

that will space them evenly at any rate.

- anonymous

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

- anonymous

while still having each circle intersecting each other circle twice.

- anonymous

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

- anonymous

Thank you

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