Question

9.

Find the area of the shaded region.
6
6
The exact area is A =
square units.

Answer 1

8. 36

Explanation:

8.

The diameter of the square is x=
`\sqrt{6^(2) +6^(2) }\\` =
`√(72)` = 6
`√(2)`

The diameter of the square is the diameter of the circle, therefore the radius of the circle is r = 6
`√(2)`/2 = 3
`√(2)`

The area of the shaded region, which is a circle is A= π
`r^(2)` = π
`(3√(2) )^(2)` = 36π