## anonymous one year ago Find the area of the shaded region to the nearest tenth.

1. anonymous

2. calculusxy

you need to find two things: area of the circle : $\large A = \pi r^2$ area of square $\large A= s^2$ s = side length

3. calculusxy

so once you find them, tell me what you get and we will proceed

4. anonymous

Area of square=64 ? im not so sure about the circle

5. calculusxy

$\large A = \pi r^2$ r = radius (or half of the diameter, which in this case is 8) to find the radius you need to do 8 / 2 = ___ and then take the radius and put it into the equation.

6. anonymous

50.24?

7. calculusxy

okay that works.

8. calculusxy

now since the circle is inside of the square we need to subtract the area of the circle from the area of the square to find the area of the shaded space.

9. calculusxy

|dw:1443025793580:dw|

10. anonymous

so, i would subtract 50.24 from 8?

11. calculusxy

not exactly. remember the area of the square of 8? well you need to subtract 64 - 50.24 = ___ *(8 is only the diameter of the circle and the side length of the square)

12. anonymous

oh, forgot about that but that would be 13.76

13. calculusxy

yes now round that to the nearest tenth (like it said in the question)

14. anonymous

thanks! appreciate it.

15. calculusxy

You're welcome :)