##  [Isoperimetric Ratio](/isoperimetric-ratio) 

  ##  [Isoperimetric Ratio](https://puremath.quantumdictionary.io/isoperimetric-ratio-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A dimensionless quantity comparing a region's boundary measure to its volume that indicates how close the region is to an optimal isoperimetric shape (typically a ball or sphere); commonly normalized so the optimal shape attains value 1.