We have a square with a side length of 2000. Inside the square is a circle C with a radius of 525, which can be moved freely within the square as long as it remains within the square. There are also four other circles, which, as shown in the diagram, are tangential to the square and also tangential to the other circles. All radii are integers! The circles must not intersect!Question: What are the solutions for the four circles?
(2000-525)/4
What is the smallest sized square for which this works?
>>170023134/5 C3/5 C2/5 C1/5 C
You have control with:side lenght = 2000 = [ 2*(R1*R3 - R2*R4) + sqrt(2*(R1 - R2)*(R1 - R4)*(R3 - R2)*(R3 - R4)) ]/ [R1 - R2 + R3 - R4]where R2 and R4 are the biggest and the smallest circle of the four circles in the corners of the square.
