anonymous
  • anonymous
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.
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
1 Attachment
FibonacciChick666
  • 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=\[6.75 \pi\]
anonymous
  • anonymous
thanks!

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FibonacciChick666
  • FibonacciChick666
no problem
anonymous
  • anonymous
Do you think you could check a few others? Im not sure if I did them right
FibonacciChick666
  • FibonacciChick666
sure
anonymous
  • anonymous
Find the circumference of the circle. Use
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anonymous
  • anonymous
I will show you what I did
FibonacciChick666
  • FibonacciChick666
ok
anonymous
  • anonymous
|dw:1360805300876:dw|
anonymous
  • anonymous
Sorry its sloppy but does that look right so far?
FibonacciChick666
  • 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?
anonymous
  • anonymous
Well the are uses radius so thats why I solved for radius first
anonymous
  • anonymous
*area
FibonacciChick666
  • FibonacciChick666
\[[C=2\times \pi \times r]\]
FibonacciChick666
  • FibonacciChick666
ok so let's restart
FibonacciChick666
  • FibonacciChick666
What information are you given?
anonymous
  • anonymous
just the picture and to use 3.14
FibonacciChick666
  • FibonacciChick666
ok. so what information did the picture contain?
anonymous
  • anonymous
The diameter
FibonacciChick666
  • FibonacciChick666
ok good. now how could you write the radius in terms of the diameter?
anonymous
  • anonymous
well its half the diameter
FibonacciChick666
  • FibonacciChick666
good
FibonacciChick666
  • FibonacciChick666
so do we have the information we need to answer the question?
anonymous
  • anonymous
Actually I think I figured it out I got what I was doing wrong now
FibonacciChick666
  • FibonacciChick666
ok just let me know your final answer and I will tell you if it is correct
anonymous
  • anonymous
I got 5.966
FibonacciChick666
  • 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
FibonacciChick666
  • FibonacciChick666
dependent upon your teacher though
FibonacciChick666
  • FibonacciChick666
i actually need to go good luck though

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