Urbanization is the most important aspect of societal advancement, particularly in densely populated capitals like the city of Dhaka in Bangladesh. There have been numerous mega projects incorporated within the city, but there is still a lack of proper planning mechanisms for further expansion.  As the city continues to evolve, efficient planning becomes imperative to sustain growth and enhance living standards. With the help of voronoi diagrams, this research offers a systemic approach to expanding Dhaka's urban landscape, which, to our knowledge, is a unique approach to solving the problem of representing Dhaka city. Through a fusion of Voronoi tessellation and Delaunay triangulation, the key map zones of the city are mapped, identifying optimal expansion sites and the shortest destination points for future infrastructure project routes. By addressing Sustainable Development Goal 11 (Sustainable Cities and Communities), the methodology aims to foster sustainable urban growth, enhance livelihoods, and mitigate congestion. Through empirical analysis and spatial modeling, the findings in the research provide actionable insights for policymakers, urban planners, and stakeholders, facilitating informed decision-making for Dhaka's sustainable development trajectory.