Find Inner & Outer Radius of Hollow Circle from Second Moment of Area

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To find the inner radius (r2) and outer radius (r1) of a hollow circle using its second moment of area, the equation I=π(r1^4-r2^4)/4 is essential. A simultaneous equation approach is suggested, but additional parameters like the area of the section or the thickness (r2–r1) must be specified to solve for the radii. Without these parameters, multiple solutions for a given value of I exist. Exploring resources on structural mechanics and moment of inertia calculations may provide further insights. Clarifying these parameters is crucial for accurate calculations.
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trying to solve for cross-sectional dimensions with only I. Need another equation to form a simultaneous equation.
Hi! I am trying to find the inner (r2) and outer radius (r1) of a hollow circle based on its second moment of area. I have the equation that I=π(r1^4-r2^4)/4. I think I need to use a simultaneous equation and then sub this in for one of the radii. However, I am unsure of another equation I could use. Any suggestions would be great of places to look or things I have overlooked.
 
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There are many solutions for any particular value of I.
You need to specify a parameter such as the area of the section, or thickness r2–r1, before solving for r1 and r2.
 
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