RECENTLY ONE OF THE PRESENT AUTHORS HAS EXTENDED THE NOTION OF A CIRCLE INTO THE FINSLER GEOMETRY. HERE, CONCEPT OF DEVELOPMENT OF A CURVE INTO THE TANGENT SPACE OF A FINSLER MANIFOLD IS INTRODUCED AND IT IS PROVED THAT A CURVE ON A FINSLER MANIFOLD IS A CIRCLE (RESP. geodesic) IF AND ONLY IF ITS DEVELOPMENT INTO THE TANGENT SPACE IS A CIRCLE (RESP. geodesic) IN RIEMANNIAN SENSE.NEXT, A GLOBAL EXISTENCE AND UNIQUENESS THEOREM FOR CIRCLES WITH A FIXED RADIUS IN A DIRECTION AT A POINT OF A FINSLER MANIFOLD IS OBTAINED.