The dependence of the burning rate of a solid homogeneous energetic material on curvature of the burning surface is investigated theoretically and experimentally. For these purposes, we use wedge-shaped samples with different apex angles which allow realizing the curved burning surface with a controlled curvature. In order to stabilize combustion at low pressure in the experiments, we use the radiation assisted burning. We compare the experimental data with theoretical dependencies obtained in the framework of the Zel'dovich-Novozhilov's theory. (C) 2019 The Combustion Institute. Published by Elsevier Inc. All rights reserved.