UmmmHELP
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.
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UmmmHELP
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FibonacciChick666
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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=\[6.75 \pi\]
UmmmHELP
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thanks!
FibonacciChick666
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no problem
UmmmHELP
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Do you think you could check a few others? Im not sure if I did them right
UmmmHELP
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Find the circumference of the circle. Use
UmmmHELP
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I will show you what I did
UmmmHELP
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|dw:1360805300876:dw|
UmmmHELP
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Sorry its sloppy but does that look right so far?
FibonacciChick666
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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?
UmmmHELP
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Well the are uses radius so thats why I solved for radius first
UmmmHELP
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*area
FibonacciChick666
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\[[C=2\times \pi \times r]\]
FibonacciChick666
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ok so let's restart
FibonacciChick666
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What information are you given?
UmmmHELP
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just the picture and to use 3.14
FibonacciChick666
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ok. so what information did the picture contain?
UmmmHELP
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The diameter
FibonacciChick666
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ok good.
now how could you write the radius in terms of the diameter?
UmmmHELP
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well its half the diameter
FibonacciChick666
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so do we have the information we need to answer the question?
UmmmHELP
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Actually I think I figured it out I got what I was doing wrong now
FibonacciChick666
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ok just let me know your final answer and I will tell you if it is correct
UmmmHELP
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I got 5.966
FibonacciChick666
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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
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dependent upon your teacher though
FibonacciChick666
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i actually need to go good luck though