A gyroscope component (10) and its variations (10a, 10b and 10c) includes a spool (12, 12a) which supports a ring-shaped fiber optic gyroscope coil (14). The spool has a base (26, 26a) which is provided with a central hole (38, 38a). A perpendicularly extending tubular wall (28, 28a) extends from the base or a cover (16, 16a), and may directly contact the coil or be separated therefrom by a non-adhesive material (29) or a space (30). The cover covers the spools and, with the spool and the tubular wall, forms a ring-shaped enclosure. Each coil has a generally trapezoidal shape and comprises an optical fiber winding wound about an axis and having a cross-sectional configuration that approximates a 45.degree. right triangle whose hypotenuse is formed by the sloped sides to provide a side which is sloped with respect to its axis. Three components (10, 10", 10"') are positioned respectively about three orthogonally disposed axes to form an assembly (50) and are supported within and enclosed by a housing (52). The arrangement of the enclosures positions the coils such that their sloped hypotenuse sides face one another. The spool (12, 12a), the cover (16, 16a), the tubular wall (28, 28a) and the housing (52) are formed of a ferromagnetic material having high relative (.mu./.mu.0) permeability.