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This study aims to formulate an alternative learning design related to the concept of circle equations and tangents to analytic geometry learning through student learning obstacle. This is descriptive qualitative didactic design research (DDR) by identifying the learning obstacle of students obtained equations of circular equations and tangents of circles, then compiling pedagogical didactic anticipations through identified learning obstacle. This research subjects is the sixth semester students of analytic geometry courses. Data collection was carried out using documentation, interview, test and questionnaire techniques. The results showed an alternative didactic design that could be used in learning equation of circles and tangents of circles and was able to facilitate students as a source of support for learning activities.