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Let C {\displaystyle C} be a closed curve lying inside a unit disc. Then, if L ( C ) {\displaystyle L(C)} denotes the length of C {\displaystyle C} and K ( C ) {\displaystyle K(C)} denotes the total curvature of C {\displaystyle C} :
L ( C ) ≤ K ( C ) {\displaystyle L(C)\leq K(C)}
