The document provides an overview of synthetic aperture radar (SAR) theory and applications for measuring earthquake and volcano deformation. It discusses how SAR can detect millimeter-scale surface changes from space using interferometry techniques. Examples are given of SAR being used to map coseismic deformation from past earthquakes, as well as interseismic, postseismic and creeping motions on faults. Limitations including decorrelation and atmospheric effects are also summarized.