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

Question

asked Nov 24, 2020 42.8k views

1 Answer

Corvo · Answer 1 · 2020-11-28T08:33:11+0000

Answer:

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.