A sealing system for a turbomachine comprising an annular seal defining a centerline axis, an aft annular seal; and a vane platform, comprising: a vane platform body including: an inner diameter surface configured to interface with a vane tip; and the vane platform body including an outer diameter surface having a forward sealing surface and an aft sealing surface, wherein the aft sealing surface interfaces with the aft annular seal and the forward sealing surface interfaces with the annular seal, and wherein each of the forward and aft sealing surfaces have smaller respective radii of curvature in a cold state than in a hot state, wherein both of the respective radii of curvature in the cold state are configured to be non-concentric with respective mating surfaces of the annular seals (104, 107), wherein both of the respective radii of curvature in the hot state are configured to be concentric with the respective mating surfaces for reducing point contacts between the forward and aft sealing surfaces and the respective mating surfaces. an annular seal defining a centerline axis, an aft annular seal; and a vane platform, comprising: a vane platform body including: an inner diameter surface configured to interface with a vane tip; and the vane platform body including an outer diameter surface having a forward sealing surface and an aft sealing surface, wherein the aft sealing surface interfaces with the aft annular seal and the forward sealing surface interfaces with the annular seal, and wherein each of the forward and aft sealing surfaces have smaller respective radii of curvature in a cold state than in a hot state, wherein both of the respective radii of curvature in the cold state are configured to be non-concentric with respective mating surfaces of the annular seals (104, 107), wherein both of the respective radii of curvature in the hot state are configured to be concentric with the respective mating surfaces for reducing point contacts between the forward and aft sealing surfaces and the respective mating surfaces. a vane platform body including: an inner diameter surface configured to interface with a vane tip; and the vane platform body including an outer diameter surface having a forward sealing surface and an aft sealing surface, wherein the aft sealing surface interfaces with the aft annular seal and the forward sealing surface interfaces with the annular seal, and wherein each of the forward and aft sealing surfaces have smaller respective radii of curvature in a cold state than in a hot state, wherein both of the respective radii of curvature in the cold state are configured to be non-concentric an inner diameter surface configured to interface with a vane tip; and the vane platform body including an outer diameter surface having a forward sealing surface and an aft sealing surface, wherein the aft sealing surface interfaces with the aft annular seal and the forward sealing surface interfaces with the annular seal, and wherein each of the forward and aft sealing surfaces have smaller respective radii of curvature in a cold state than in a hot state, wherein both of the respective radii of curvature in the cold state are configured to be non-concentric with respective mating surfaces of the annular seals (104, 107), wherein both of the respective radii of curvature in the hot state are configured to be concentric with the respective mating surfaces for reducing point contacts between the forward and aft sealing surfaces and the respective mating surfaces.