I want to know how many 0.9 mm in diameter circels fit in a 22.5 mm diameter circle. I also want to know the same thing but with a 2 mm diameter circle insted of a 0.9 mm circle. And the circles needs to be whole the cant warp in any shape or form. If you can help me with this can you please share your equation with me so i can use it to.
+136 This is a hard problem , there are only some approximations
like \(\frac{π}{12}\times \left ( \frac{{R}_{2}^2}{{r}_{1}^2} \right ) - \frac{π}{12} \times \left ( \frac{{R}_{2}}{{r}_{1}} \right )\)
R2 is the large circle , r1 is the small circle
you can use an approximiate calculator
http://www.engineeringtoolbox.com/smaller-circles-in-larger-circle-d_1849.html
You may find this interesting
http://www.jstor.org/pss/2688509
http://www2.stetson.edu/~efriedma/cirincir/
http://en.wikipedia.org/wiki/Circle_packing_in_a_circle
Radius=Diameter / 2
R=22.5 / 2 =11.25 mm-Radius of large circle
R=.9 / 2 =.45 mm-Radius of small circle
Since the area of a circle is proportional to r^2, then we have:
11.25^2 / .45^2 =625 small circles that will fit in the larger circle.
The 2 mm circle is exactly the same as above. So, you will have: 11.25^2 / 1=126.5625. But you can round it off to 126 or 127.
+136 sorry dear , but if it was that easy , it will be published as a formula or something like this
there are officials calculations
http://www.jstor.org/pss/2688509
http://www2.stetson.edu/~efriedma/cirincir/
http://en.wikipedia.org/wiki/Circle_packing_in_a_circle
but there is no such formula
as R2^2/r1^2 = number of circles of inside a R2 radius circle ...
cordially sir,
+118677 Pro35hp,
Why are you calling someone that you do not even know 'dear'
It sounds sarcastic and it is not polite.
Would you like me to to tell you. "Sorry dear but you are wrong." ? It would be a put down!
Would you call your teacher, or even another boy in your class, "dear" - of course not - it would be very rude.
