Draw the Mohr's Circle for soil element shown. $(30$ points$)$

a$.$ Calculate center and radius of the circle

b$.$ Calculate the principal stresses and maximum shear stress using Mohr's circle.Draw the Mohr's Circle for soil element shown. $(30$ points$)$ a$.$ Calculate center and radius of the circle b$.$ Calculate the principal stresses and maximum shear stress using Mohr's circle. c$.$ Calculate angle of the principal planes with respect to x and y axes.Find the following $1.\backslash$sigma $1$ and $\backslash$sigma $3$ acting on the element $2.$ Coordinates of the origin of planes $3.$ The orientation of the major and minor principal planes, $\backslash$theta $1$ and $\backslash$theta $34.$ Magnitude of the normal and shear stress, $\backslash$sigma and $\backslash$tau $,$ acting on the plane oriented at $70$ degrees from horizontal.