## anonymous 3 years ago A circle has its center at the center of a square with 3-inch sides. Find the area of the square not covered by the circle. Round the answer to the nearest tenth.

1. anonymous

2. FibonacciChick666

the diameter of the circle is 3in. Why? the diameter is parallel to a side. So we will calculate the area of the circle and subtract that value from the area of the square. so area of the square=l*w=3*3=9 area of the circle=$\pi \times r^{2}$=$\pi\times 3/2^{2}$. THIS YIELDS: $9- 9/4 \times \pi$ then put into a calculator and get A=$6.75 \pi$

3. anonymous

thanks!

4. FibonacciChick666

no problem

5. anonymous

Do you think you could check a few others? Im not sure if I did them right

6. FibonacciChick666

sure

7. anonymous

Find the circumference of the circle. Use

8. anonymous

I will show you what I did

9. FibonacciChick666

ok

10. anonymous

|dw:1360805300876:dw|

11. anonymous

Sorry its sloppy but does that look right so far?

12. FibonacciChick666

ok. so you have the equation for Circumference right, but you solved for the radius. Hint: What relationship exists between the diameter and the radius?

13. anonymous

Well the are uses radius so thats why I solved for radius first

14. anonymous

*area

15. FibonacciChick666

$[C=2\times \pi \times r]$

16. FibonacciChick666

ok so let's restart

17. FibonacciChick666

What information are you given?

18. anonymous

just the picture and to use 3.14

19. FibonacciChick666

ok. so what information did the picture contain?

20. anonymous

The diameter

21. FibonacciChick666

ok good. now how could you write the radius in terms of the diameter?

22. anonymous

well its half the diameter

23. FibonacciChick666

good

24. FibonacciChick666

so do we have the information we need to answer the question?

25. anonymous

Actually I think I figured it out I got what I was doing wrong now

26. FibonacciChick666

ok just let me know your final answer and I will tell you if it is correct

27. anonymous

I got 5.966

28. FibonacciChick666

Although that is a correct answer it is usually better form to leave the answer in terms of pi because it is more accurate

29. FibonacciChick666