This is an announcement for the paper "A characterisation of inner product spaces by the maximal circumradius of spheres" by Sebastian Scholtes. Abstract: We will give a new characterisation of inner product spaces amongst normed vector spaces in terms of the maximal cirumradius of spheres. It will turn out that a normed vector space $(X,\norm{\cdot})$ with $\dim X\geq 2$ is an inner product space if and only if all spheres are not degenerate, i.e. the maximal circumradius of points on the sphere equals their radius. Archive classification: math.FA math.CA math.MG Mathematics Subject Classification: 46C15, 46B20 Remarks: 8 pages Submitted from: sebastian.scholtes@rwth-aachen.de The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1202.0503 or http://arXiv.org/abs/1202.0503