Question

13.) Find the area of the shaded region if the side length of the square is 8 in.

Help fast please!

Answer 1

Area of shaded region = 6.88 square inches

Explanation:

Area of shaded region

When we subtract the area of the circle from the area of square, we get the area of the 4 corners. When we divide that by 2, we get the area of 2 corners(shaded).

`\sf \boxed{\text{Area of the shaded region =$(Area \ of \ square - area \ of \ circle)/(2)$}}`

Square:

Area of square = side *side

= 8 * 8

= 64 square inches

Circle:

diameter of the circle = side of the square

d = 8 in

r = 8/2 = 4 in

`\sf \text{Area of circle = \pi r^2}` Area of circle = πr²

= 3.14 * 4 * 4

= 50.24 square inches

`\sf \text{Area of shade region = (64 - 50.24 )/(2)}`

`\sf \text{Area of the shade region = $(64 - 50.24)/(2)$}`

`\sf = (13.76)/(2)\\\\= 6.88 \ square inches`