first to get it gets 10?

Question

A conference centre contains five identical rooms. All of the rooms have square floors. Recently, the floors of the rooms have been painted, and a different pattern has been used for each room. Each room has a certain number of red circles painted on a white background in the patterns that you can see by clicking here.


Room 1 has 9 red circles of equal area painted on a white background
Room 2 has 16 red circles of equal area painted on a white background;
Room 3 has 25 red circles of equal area painted on a white background;
Room 4 has 36 red circles of equal area painted on a white background;
Room 5 has 49 red circles of equal area painted on a white background;

Which room has the largest red-painted area on its floor? If one room has a greater red-painted area than the rest, give the number of that room (between 1 and 5 inclusive) as your answer. If all of the rooms have the same red-painted area, give 0 as your answer.

(You can ignore the black borders in the picture when figuring out the areas.)

If a circle has radius R, then its circumference is 2 x pi x R;
If a circle has radius R, then its area is pi x R x R. that makes it easy

http://www.hamilton.ie/mathschallenge/ballsinbox.jpg

sorry about that

Answer 1

Depends entirely on the size of the circles.

If, as I assume they are, they are painted so that they are as big as they can be without overlapping or touching the edge of the room all the rooms will have the same amount of red paint on the floor (50% of the floor will be circle). So my answer is 0

Answer 2

All rooms square, all rooms same size. Circles are as defined below:

(radius) = (width of room) / (2 * sqrt (#circles))

Area of all circles in a given room
= (# circles) * (pi) * (radius) * (radius)

Simply plugging in the numbers indicates that all rooms have the same area painted red (and therefore the same area left painted white).

Answer: 0

Answer 3

No link

Answer 4

As the SIZE of the red circles is unspecified the answer could be any of the rooms.
9 red circles the size of car tyres will have a much greater area than 49 circles the size of coins.

...unless I missed something...

Answer 5

Is it 2!?

Answer 6

room 4

Answer 7

No link but room 5 if they are all identical.

Answer 8

If we knew the size of the circles we could figure it out.

Answer 9

First of all there is nothing to click on...second it would be #5 because that would most likely cover more

Answer 10

I am guessing 0. You need to give more info and you gave no link either.