Respuesta :
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 [tex] 4 \times side [/tex]
[tex] 32 = 4 \times side [/tex]
side [tex] = \frac{32}{4} [/tex]
side = 8 inches.
Since, side of a square = diameter of a circle
Therefore, diameter of a circle = 8 inches.
radius of a circle = [tex] \frac{d}{2} [/tex] , where d is the diameter
radius = [tex] \frac{8}{2} [/tex] = 4 inches.
The perimeter of a circle is termed as Circumference.
Circumference of a circle = [tex] 2\Pi r [/tex]
= [tex] 2\Pi \times 4 [/tex]
= [tex] 8\Pi [/tex] inches.
