Hi I'm sorry i'm coming to you because i'm really bad at maths. But i'm trying to create a visualisation for my project... My issue is that I want to make the 4 big circles grow proportionally when the green circle radius grow as well. Uhm i don't know if it's very clear ...
small green circle radius = 35
Bottow circle has radius = 135 , x = 0 , y = -100 ,
Top circle has radius = 135 , x = 0 , y = 100
Left circle has radius = 135 , x = -100 , y = 0 ,
Right circle has radius = 135 , x = 100 , y = 0
I would be very greatful of your help
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Let's say your green circle is: $$x^2+y^2=r^2$$
The radius of the bigger circles will be: $\frac{135r}{35}=\frac{27r}{7}$
Let's do the circle to the right of the green circle.
The centre of the circle to the right will be: $(x,y)=(\frac{20r}{7},0)$
The equation of the circle to the right will be: $$(x-\frac{20r}{7})^2+y^2=(\frac{27r}{7})^2$$
Graph that and see if it works. Whatever value you choose for $r$ the big circle should scale to it.
See if you can figure out the other circles.