A column has a section similar to that shown in Figure $25$ in the text but each cover plate is made $\frac{3}{4}$ in$.$ thick. The area of a $10-$in $.$ channel is $4\mathrm{.}49$ sq in$.,$ its

moment of inertia with respect to the neutral axis parallel to axis $YY$ in Fig. $25$ is $2\mathrm{.}28$ in$.{?}^4$ and the distance from the back of a channel to its centroid is $0\mathrm{.}634$ in$.$

The radius of gyration of the column section with respect to the neutral axis $YY$ is

A$.4\mathrm{.}25$ in$.$

B$.4\mathrm{.}34$ in$.$

C$.4\mathrm{.}18$ in$.$

D$.4\mathrm{.}05$ in$.$