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hello everyone in this video were going to be looking at a japanese temple problem in other words as san gaku nine congruent circles with radius r are inscribed in a unit circle as shown find r at this point you may just want to pause the video and give this problem a try all right lets get started so notice that we do have a unit circle so its radius is 1 and then 9 congruent circles were inscribed in this circle so theyre all tangent to each other and they are also the four of them are tangent to the large circle so as always were gonna be you know starting with connections so lets go ahead and make some connections here im gonna im just gonna go ahead and connect the centers of these two circles here we can obviously make many connections here but theyre all going to be symmetrical so it doesnt really matter much so im going to be making that type of connection first and then in order to proceed im also going to be connecting these two centers and then these two centers t
