\begin{table}%t1 \par \caption {\label{Tab:radius}Radii of M~giants in binary systems derived from the Stefan-Boltzmann law ($R_{\rm SB}$) and from high-angular resolution measurements ($R_{\rm HR}$). The labels ``UD'' and ``LD'' refer to uniform discs or limb-darkened discs, respectively. Luminosities are derived from the Hipparcos parallaxes $\varpi$, from the 2MASS $K$~magnitudes and bolometric corrections $BC_K$ derived from the ($V-K$ , $BC_K$) analytical relation from \citet{Bessell-Wood-84}, which is in good agreement with the more recent calibration of \citet{Bessell-98}. The Johnson $V_J$ magnitude from the Hipparcos catalogue has been used. Effective temperatures are derived from the $V_J-K$ indices using the ``bcd'' calibration of \citet{Bessell-98}. } %\centerline {\begin{tabular}{rrcrrrrrllll} \hline \hline \multicolumn{1}{c}{HD} & \multicolumn{1}{c}{$\theta/2$} & UD/LD & \multicolumn{1}{c}{Band} & \multicolumn{1}{c}{$\varpi$} & $R_{\rm HR}^a$ & $R_{\rm SB}$ & \multicolumn{1}{c}{$K$ (2MASS)} & \multicolumn{1}{c}{$V_J-K$} & \multicolumn{1}{c}{$BC_K$} & \multicolumn{1}{c}{$\log L/L_\odot$} & $\log T_{\rm eff}$ \\ & \multicolumn{1}{c}{(mas)} & & & \multicolumn{1}{c}{(mas)} & ($R_\odot$) & ($R_\odot$) & & & & & (K)\\ \hline 9053 & $3.22\pm0.43$ & UD & 10 $\mu$m & $13.9\pm0.6$ & 50 & 55 & --0.50$^b$ & 3.9 & 2.65 & 2.75 & 3.58\\ 41~511 & $1.55\pm0.16$ & LD & K & $3.0\pm0.7$ & 110 & 109 & 1.67 & 3.3 & -- & 3.08$^c$ & 3.51$^c$ \\ 42~995 & $12.95\pm0.04$ & UD & K & $9.3\pm2.0$ & 145 & 153 & --1.72 & 5.0 & 2.85 & 3.50 & 3.55 \\ 89~758 & $ 8.00\pm0.03$ & UD & V &$13.1\pm0.8$ & 66 & 75 & --1.01 & 4.1 & 2.69 & 2.99 & 3.57 \\ 132~813 & $ 9.60\pm0.70$ & UD & K & $8.2\pm0.5$ & 126 & 126 & --0.96 & 5.6 & 2.91 & 3.29 & 3.54 \\ 137~853 & $ 2.37\pm0.05$ & UD & K & $4.2\pm0.8$ & 62 & 61 & 1.93 & 4.1 & 2.69 & 2.81 & 3.57 \\ 220~088 & $ 2.29\pm0.03$ & UD & K & $7.5\pm0.7$ & 33 & 35 & 1.81 & 3.8 & 2.61 & 2.38 & 3.59 \\ \hline \end{tabular}} \par \smallskip \par $^a$ From Richichi et~al. (2005, CHARM2) \nocite{Richichi-2005}, \citet{Verhoelst-2007} and \citet{Richichi-2005b}; $^b$ from \citet{Richichi-2005b}; $^c$ these values are taken from \citet{Verhoelst-2007}; the calibrations used for the other stars, and based on the $V-K$~colour index, cannot be used for HD~41~511 because the $V$~band is contaminated by light from the A-type companion. \end{table}