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I have a challenge:assuming all the sqaures have side length 1, what is the radius


Thread replies: 12
Thread images: 3

File: 20151117_193811.jpg (1MB, 3264x1836px) Image search: [Google] [Yandex] [Bing]
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I have a challenge:
assuming all the sqaures have side length 1, what is the radius of the smallest circle you can circumscribe arround 1, 2, 3 (and so on) sqaures? r1 and r2 are easy, r3 is a bit harder. Let's see how many you can get.
>>
.999999 != 1
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>>7665379
You win!
>>
File: circle.png (22KB, 680x780px) Image search: [Google] [Yandex] [Bing]
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A gave up on solving the general problem so have #3. #4 is obviously trivial.
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>>7665444
Sorry, my homework says give the general solution
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>>7665444
Shouldn't the circle be smaller for three squares than for 4, where the solution is r = sqrt(2), which is less than your answer.
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>>7665293
>amateur maths puzzles
Why cant we have more threads like this? tired of the college calculus circlejerking
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>>7665293
I predict r5 and r6 will be the same
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>>7665293
r approaches sqrt(n/pi)
>>
File: 20151118_004201.jpg (1MB, 3264x1836px) Image search: [Google] [Yandex] [Bing]
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This is also fun to do with other shapes like circles and triangles.

>>7665444
Nice. Correct.
>>7665626
But that's wrong.
>>7665668
How do you go about this?
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>>7665743
>How do you go about this?
Think about it, it's not that hard to understand.
>>
>>7665778
I don't understand. Elaborate.
Thread replies: 12
Thread images: 3
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