Circular pools or buildings may be encountered in production of maps for making development plans, in thefirst facility cadaster and on land. Geodetic measurements may be made on at least three different points of the circleshaped pool or building to obtain positions in a coordinate system of measurement points with a geodetic ground-basedelectronic tachometer after connection to another polygon. It is possible to get a circle from these three points where thecoordinates can be calculated, the coordinates of the center of the circle and the radius of the circle with the help of drawingprograms (Netcad, Carto CAD, GEOCAD ...). In drawing programs related to cartography, the details of passing the circlefrom three points, the coordinates of the center of the circle and the radius of the circle cannot be accessed because thedetails are kept proprietary by software companies. We have been curious about how the coordinates of the center of thecircle or the radius of the circle in question are calculated by using the subprograms on a computer. Apart from theinformation hidden by software companies, two studies which are indirectly close to the subject mentioned in theapplication have been identified with respect to the solution of the problem on the computer. However, it was found thatthese studies did not directly illuminate our research topic, so, this issue should be investigated. This study presentstheoretical solutions for the topic, makes numerical implementations and provides findings and interpretations.