tokens: from observed frequencies and ratios r 01 and r 10 by using Equations ( 3 ) and ( 6 ). Appourchaux et al. ( 2012 ) extracted the frequencies of low- l p -modes of KIC 9812850. Using the ratio r 10 computed from the frequencies and the observed frequencies ν n ,1 , the values of A , ν 0 , and B 0 in Equation ( 3 ) are estimated to be 264 ± 62 π , 2309 ± 141 μ Hz, and 0.043 ± 0.005, respectively, for KIC 9812850. Thus, the radius r c of KIC 9812850 is predicted to be about 0.14 by Equation ( 6 ). 3. THE RADIUS OF THE CONVECTIVE CORE OF THE BEST MODEL OF KIC 9812850 3.1. Evolutionary Models In order to compare the value of r c estimated by Equations ( 3 ) and ( 6 ) for KIC 9812850 with that of the evolutionary model of KIC 9812850, we searched for the best model of KIC 9812850 that matches both nonseismic constraints and seismic characteristics in a grid of evolutionary models. We used the Yale Rotation Evolution Code (YREC; Pinsonneault et al. 1989 ; Yang Bi 2007a ; Yang et al. 2015 ) to construct the models. For the microphysics, the OPAL equation-of-state table EOS2005 (Rogers Nayfonov 2002 ) and OPAL opacity table GN93 (Iglesias Rogers 1996 ) were adopted, supplemented by the Alexander Ferguson ( 1994 ) opacity tables at low temperature. The models with a mass less than 1.30 take into account the diffusion and settling of both helium and heavy elements by using the diffusion coefficients of Thoul et al. ( 1994 ). The standard mixing-length theory is adopted to treat convection. The mixing-length parameter α is a free parameter in this work. For the Sun, the value of the α for the YREC is 1.74. The distance of the overshooting of the convective core is defined as H p , where is a free parameter and H p is the local pressure scale height. The full mixing of material is assumed in the overshooting region. The initial helium mass fraction is fixed at the standard big bang nucleosynthesis value 0.248 (Spergel et al. 2007 ) and 0.295. All models are evolved from zero-age MS to the end of MS. The values of the input parameters, mass, α , , and Z i , for the calculations are summarized in Table 1 . Table 1 Range of the Input Parameters for the Evolutionary Tracks The adiabatic oscillation frequencies ν n , l of models were computed by using the pulsation code jig7 of Guenther ( 1994 ). The effects of the near-surface effects of a model on the frequencies were calculated by using the method of Kjeldsen et al. ( 2008 ). 3.2. Observational Constraints on Models KIC 9812850 is an F8 star (Wright et al. 2003 ). The value of [Fe/H] given by Ammons et al. ( 2006 ) is , but that given by Bruntt et al. ( 2012 ) is −0.16 ± 0.06 for KIC 9812850. Combining the value of 0.023 (Grevesse Sauval 1998 ) of ( Z / X ) ⊙ of the Sun, the value of ( Z / X ) s of KIC 9812850 is estimated to be between 0.016 and 0.033 for the [Fe/H] of Ammons et al. ( 2006 ), or in the range of 0.014–0.018 for the [Fe/H] of Bruntt et al. ( 2012 ). The effective temperature of KIC
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