  In this paper, we investigate the shadow radius and quasinormal modes of a
four-dimensional magnetically charged Einstein-Gauss-Bonnet Bardeen black hole
and point out a simple connection between them in the eikonal limit. By
studying a massless scalar field perturbation in this spacetime background and
using the sixth-order Wentzel-Kramers-Brillouin(WKB) approximation, we get the
quasinormal modes(QNMs) and perform a detailed analysis. It shows that the
quasinormal modes are depend on the Gauss-Bonnet coupling constant and the
magnetic charge. We also give a formula of the QNMs and shadow radius in the
eikonal limit and check it numerically for the real and imaginary part of it,
respectively.
