anonymous
  • anonymous
A point in the figure is selected at random. Find the probability that the point will be in the shaded region. about 80% about 90% about 60% about 70%
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
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anonymous
  • anonymous
Do you have ideas? It is almost the same as your last question.
anonymous
  • anonymous
You have 2 half circles, which is the same size. So together that would be a whole circle. Now you can calculate the circles area, and the square's area. \[A_{circle}=\pi*r^2\] \[A_{square}=a*a\] In this case, \[a=2r\]
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anonymous
  • anonymous
So, lets take it in small steps. First try and calculate the circles Area (A). You can use a number if you'd like. This could be \[a=2\] which gives \[r=1\]
anonymous
  • anonymous
\[A_{circle}=\pi*r^2=\pi*1^2=\pi\] \[A_{square}=a*a=2*2=4\]
anonymous
  • anonymous
\[\frac{A_{circle}}{A_{square}}*100=\frac{\pi}{4}*100 \approx78.5 \]

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