What is the difference in area between a circle with a diameter of 3 meters and a square with a side length of 3 meters?

##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##