To find the angular distance between two stars using their equatorial coordinates, Right Ascension (RA) and Declination (dec) are required. For closely positioned stars, the Pythagorean theorem can be applied, with dec in degrees and RA converted from hours to degrees using the factor of 15 degrees per hour, adjusted by the cosine of the declination. For stars that are farther apart, the calculation involves determining the great circle that connects both points. This method ensures accurate measurement of angular separation in celestial navigation. Understanding these calculations is essential for precise astronomical observations.