#Smallest Circle to Fit All Six U.S. Coins: A Geometric Challenge
gusty ploverBOT
fluid moss
add them
fluid moss
that wouldnt create the smallest circle
rotating a coin doesn't change its size
orientation is irrelevant
the diameter will remain the same
twilit mica
well yes but just adding the diameters would mean u created a circle with the diameter of the sum of all the coins
which wouldnt be the smallest for sure
fluid moss
also why tf is there a dollar bill there
twilit mica
dollar coin
fluid moss
ahh
twilit mica
this is a tricky question tho and im not sure how to solve it
fluid moss
so uh
the longest possible diameter would be the sum of the coins' diameters, right?
could you decrease the length by slowly stacking the coins height wise?
it'd be parabolic
i think
twilit mica
the longest possible diameter would be the sum of the coins' diameters, right?
well the longest possible diameter is infinite
fluid moss
well the longest possible diameter is infinite
How so
twilit mica
because thats the largest circle that those coins will fit in
fluid moss
"Note that the coins must be arranged such that their edges are tangent to the circle, meaning the central space cannot will be left empty."
doesn't this uh
twilit mica
ah i see
well i mean we could have all the coins resting tangent to the infinite circle
sure thats kinda paradoxical
but it more goes to represent that even for large circles, the coins can still rest at the edge
twilit mica
thats a good idea
i suppose what we have to do is try and wrap the coins as tightly as possible
glad ether
Find the area of six coins the multiple them by 6, if coins are like base. But if coins are perpendicular then there are lots of factors for example orientation of coins. According to the information given by you I think the first one is good