Question

Choices
16-64pi
256-8pi
64-16pi
256-64pi

Answer 1

Option 4 is correct.i.e, ( 256 -
`64\pi` ) sq. inch

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 -
`\pi r^2`

= 16 × 16 -
`\pi* 8^2`

= ( 256 -
`64\pi` ) sq. inch

Therefore, Option 4 is correct.