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We derived an exact solution of the spherically symmetric Hayward black holesurrounded by perfect fluid dark matter (PFDM). By applying the Newman-Janisalgorithm, we generalized it to the corresponding rotating black hole. Then, westudied the shadows of rotating Hayward black hole in PFDM. The apparent shapeof the shadow depends upon the black hole spin $a$, the magnetic charge $Q$ andthe PFDM intensity parameter $k$ ($k<0$). The shadow is a perfect circle in thenon-rotating case ($a=0$) and a deformed one in the rotating case ($a\neq{0}$).For a fixed value of $a$, the size of the shadow increases with the increasing$\vert{k}\vert$, but decreases with the increasing $Q$. We further investigatedthe black hole emission rate. We found that the emission rate decreases withthe increasing $\vert{k}\vert$ (or $Q$) and the peak of the emission shifts tolower frequency. Finally, we discussed the observational prospectscorresponding to the supermassive black hole $\mathrm{Sgr\ A^{*}}$ at thecenter of the Milky Way.

Shadow cast by a rotating and nonlinear magnetic-charged black hole in perfect fluid dark matter