The use of stress polygons combined with wellbore collapse and induced fractures can constrain the range of maximum horizontal stress. But this method is mainly used for axial induced fractures and it is difficult to find both wellbore collapse and induced fractures simultaneously in a same section of wellbore. Radial induced fractures may also exist in vertical and horizontal wells, appearing as a set of approximately parallel and discontinuous dark short straight lines in imaging logging images. The radial induced fractures can also be used to constrain the range of maximum horizontal stress. In this paper, the generation conditions of radial induced fractures in vertical and horizontal wells are derived by considering the influence of effective stress and thermal effects. Based on this, the upper and lower limit constraint lines for the maximum horizontal stress based on radial induced fractures are obtained. The analysis results show that as the temperature difference between the drilling fluids and formation increases, the lower limit constraint line gradually moves down in vertical wells and the upper limit constraint line gradually moves up in horizontal wells. Then, the Poisson"s ratio decreases, the range of stress polygons expands, one hand the lower limit constraint line moves up and the upper limit constraint line deflects to the right in a vertical well, on the other hand the upper limit constraint line deflects to the right in horizontal well, while the lower limit constraint line also deflects to the right but with a smaller amplitude. Moreover, the variation of the effective stress coefficient only affects the range of the stress polygon, while it has almost no effect on the constraint lines of the lower and upper limits of the horizontal maximum stress. By constraining the upper and lower limits of the maximum horizontal stress, combined with the minimum horizontal stress, the range of maximum horizontal stress can be conveniently predicted, expanding the ways to obtain the maximum horizontal stress for wellbore stability analysis and hydraulic fracturing design.