Since, a circle is inscribed in a square, it means that the side of a square is equal to the diameter of a circle.
Since, the perimeter of a square is 32 inches.
A perimeter is a path that surrounds the two dimensional shape.
Perimeter of square is given by
side
side = 8 inches.
Since, side of a square = diameter of a circle
Therefore, diameter of a circle = 8 inches.
radius of a circle = , where d is the diameter
radius = = 4 inches.
The perimeter of a circle is termed as Circumference.
Circumference of a circle =
=
= inches.