Answer:
Option 4 is correct.i.e, ( 256 - [tex]64\pi[/tex] ) sq. inch
Step-by-step explanation:
Given : A Square is circumscribed about a circle.
Radius of Circle = 8 inch.
To find : Area of region inside the square but outside of circle.
From Given figure, we have side of square = Diameter of circle
= 2 × 8 = 16 inch.
∴ Area of Required region = Area of Square - Area of circle
= side × side - [tex]\pi r^2[/tex]
= 16 × 16 - [tex]\pi\times 8^2[/tex]
= ( 256 - [tex]64\pi[/tex] ) sq. inch
Therefore, Option 4 is correct.
