Linked from
The 13 pages that link to Central angle, each with the reason it gives.
RadianRelated: Its intercepted arc supplies the length used to measure the angle in radians.
Great circleRelated: Its measure converts angular separation along a great circle into arc length.
DiameterRelated: A straight central angle spans a semicircle and subtends a diameter.
Spherical trigonometryRelated: A spherical arc’s length is naturally related to its central angle.
ChordRelated: It determines the length of the chord between its endpoints.
Spherical law of cosinesRelated: It measures each spherical side as an angle at the sphere’s center.
MilliradianRelated: The milliradian measures the central angle associated with a short circular arc.