In this paper exact closed-form solution for curved sandwich panel with two piezoelectric layers as actuator and sensor that inserted in the top and bottom facing is presented. The core is made from functionally graded (FG) material that has heterogeneous power-law distribution through the radial coordinate. It is assumed that the core is subjected to magnetic field whereas core is covered by two insulated composite layers. To determine exact solution, first characteristic equations are derived for different material types in polar coordinate system, namely magneto-elastic, elastic and electro-elastic for FG, orthotropic and piezoelectric materials, respectively. The displacement-based method is used instead of stress-based method to derive a set of closed-form real-valued solutions for both real and complex roots. Based on elasticity theory, exact solutions for the governing equations are determined layer-by-layer that is considerably more accurate than the typical simplified theories. The accuracy of presented method is compared and validated with available literature and finite element simulation. The effects of geometrical and material parameters such as FG index, angular span along with external conditions such as magnetic field, mechanical pressure and electrical difference are investigated in detail through numerical examples.