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
>>7665379
You win!
A gave up on solving the general problem so have #3. #4 is obviously trivial.
>>7665444
Sorry, my homework says give the general solution
>>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.
>>7665293
>amateur maths puzzles
Why cant we have more threads like this? tired of the college calculus circlejerking
>>7665293
I predict r5 and r6 will be the same
>>7665293
r approaches sqrt(n/pi)
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?
>>7665743
>How do you go about this?
Think about it, it's not that hard to understand.
>>7665778
I don't understand. Elaborate.