$3\mathrm{.}2.$ A circular tunnel, with a radius of $6$ meters, is excavated in granite rock at a depth of $3500$ meters. The horizontal to vertical stress ratio is $0\mathrm{.}7,$ and the Poisson's Ratio is $0\mathrm{.}25.$ The rock has a density of $2900k\frac{g}{m^3}.$ To analyse the rock behavior, consider a point that is $12$ meters from the centre of the tunnel and situated at a $45$ anticlockwise angle from the horizontal axis. Assume plane strain conditions for the analysis.

$3\mathrm{.}2\mathrm{.}1.$ Illustrate the cross$-$section of the tunnel in a diagram, clearly labelling the tunnel radius and the distance from the centre of the tunnel to the point where the stresses are being calculated.

$3\mathrm{.}2\mathrm{.}2.$ Calculate the radial, tangential and shear stresses at the specified point.