Question

The area A of a circle with radius r is given bh the equation A=π × r^2.Is the area of a square with side length 2 inches greater than or less than the area of a circle with radius 1.2 inches?

Answer 1

Area for square with side length 2 inches:

A = base x height = 2 inches x 2 inches = 4 inches^2

Now, for a circle with a radius 1.2 inches, we have:

$A=r^2\pi=(1.2)^2\text{ }\pi\text{ }\approx4.52in^2$

but notice that

$4.52\text{ > 4}$

so we can conclude that the area of the square is less than the area of the given circle.