Using the formulas for [[Radius of Turn]] and [[Bank Angle Required for Standard Rate Turn]], the radius of turn at standard rate can be derived: $ radius = \frac{v^2}{11.26\tan(Φ)} $ $ Φ = \tan^-¹(\frac{3}{1091}v) $ substituting the formula for $Φ$ produces: $ radius = \frac{v^2}{11.26\tan(\tan^-¹(\frac{3}{1091}v))} $ which reduces to: $ radius\ (ft) = 32.297v $ or $ radius\ (nm) = 0.0053v $