Question

a circle fits inside of a square, touching all of the sides of the square. if a side of the square is 6, what is the area of the circle?

Answer 1

A circle fits inside of a square, touching all of the sides of the square.

side of the square is 6.

In this particular arrangement

Side of the square =Diameter of the circle

Radius=Diameter/2=6/2=3

Area of the circle can be given as

$\\ \ A=\pi r^2\\ \\ \ A=\pi*3^2,r=3\\ \\ \ A=9 \pi$