As the diagram shown below the radius of the largest circle

As the diagram shown below, the radius of the largest circle is R and the radius of the smallest circle is r. Find the relationship of R and r.

I need help with this test question.

As the diagram shown in the link below, the radius of the largest circle is R and the radius of the smallest circle is r. Find the relationship of R and r.

Solution

R=?{[(R/2)+2r]^2-(R/2)^2}=?(2r*(2r+R))