Question

If two non-intersecting circles, one lying inside the other, are of radii a and b (a > b), and the minimum distance between their circumference is c, what is the distance between their centres?



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Answer 1

Answer:

Here are two non-intersecting circles with centre A and B.

Since, a>b then, a will be the radius of the big circle and b will be the radius of the small circle.

∴ AD=a and BC=b

c is the distance between their circumference then,

⇒ CD=c

AB 4 is the distance between two centres.

∴ AB=AD−(BC+CD)

⇒ AB=a−(b+c)

∴ AB=a−b−c