##1.931m^2##

The formulas for the area of a circle with diameter ##d## and the area of a square with side length ##d## are;

##A_circle = pi r^2 = pi (d/2)^2 = pi/4 d^2##

##A_square = d^2##

To find the difference we can subtract the area of the circle from the area of the square.

##A_square – A_circle= d^2 – pi/4 d^2##

##= (1-pi/4)d^2##

This is the general formula for the difference in the areas. Plugging in ##3m## for the diameter gives a value of;

##(1-pi/4)(3m)^2 = 1.931m^2##