Although point contact models are ubiquitous for robot grasp planning, they do not model, and thus poorly approximate, the range of wrenches that finite-area soft contacts provide. This poor approximation leads to many false negatives in grasp analysis. To reduce these false negatives, we propose the REACH model, a Robust Efficient Area Contact Hypothesis model, consider its potential benefits, and investigate two potential drawbacks: increased computational complexity and increased false positives. The REACH model computes the contact profile using constructive solid geometry intersection and barycentric integration and estimates the contact's ability to resist external wrenches (e.g., gravity) under perturbations in object pose and material properties. We evaluate the performance of REACH with 2,625 physical grasps of 21 diverse objects on an ABB YuMi robot. We compare performance on the dataset to a soft point contact model, an elliptical area contact model, and a prototype rigid-body dynamic simulation model using NVIDIA Flex. The REACH model reduces false negatives by 17% compared to the point contact model, achieving 72% average recall on the physical object set. The REACH model also compares favorably to full dynamic simulation in Flex and is two orders of magnitude faster, with 50 ms average grasp computation time.