This paper establishes a bijection between the number of regions formed when a circle is cut by chords and the number of regions formed when 4-dimensional hyperspace is cut by hyperplanes. It first introduces counting methods to determine the number of regions in each case using formulas. It then presents labeling algorithms to map each region in the circle cuts to a unique region in the hyperspace cuts, proving their counts are equal. Further work is needed to fully label the circle cut regions to match the labeling of the hyperspace cuts.