anonymous
  • anonymous
The figure below shows a shaded circular region inside a larger circle: A shaded circle is shown inside another larger circle. The radius of the smaller circle is labeled as r and the radius of the larger circle is labeled as R. On the right side of the image is written r equal to 3 inches and below r equal to 3 inches is written R equal to 5 inches. What is the probability that a point chosen inside the larger circle is not in the shaded region? 24% 36% 50% 64%
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
@Jamierox4ev3r
anonymous
  • anonymous
@Jamierox4ev3r
anonymous
  • anonymous

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Jamierox4ev3r
  • Jamierox4ev3r
shoot I'm not sure about the whole probability thing x'D
Jamierox4ev3r
  • Jamierox4ev3r
but you could solve for area. and then make those ratios
anonymous
  • anonymous
@iGreen
anonymous
  • anonymous
@whpalmer4
anonymous
  • anonymous
@iGreen
Jamierox4ev3r
  • Jamierox4ev3r
oh wait nvm i remember x'D lol sorry
anonymous
  • anonymous
ok
Jamierox4ev3r
  • Jamierox4ev3r
so yeah. find area. the formula is \(\pi r^{2}\)
Jamierox4ev3r
  • Jamierox4ev3r
let's start with the smaller circle: \(A=\pi r^{2}\) A=\(\pi 3^{2}\)
Jamierox4ev3r
  • Jamierox4ev3r
so multiply pi by 2.... what do you get? @Marc1313
anonymous
  • anonymous
3.14 by 2?
anonymous
  • anonymous
6.28
Jamierox4ev3r
  • Jamierox4ev3r
i meant by 9..lol sorry xD since \(3^[2]\) is 9
anonymous
  • anonymous
28.26
Jamierox4ev3r
  • Jamierox4ev3r
**\(3^{2}\)
Jamierox4ev3r
  • Jamierox4ev3r
yep. so that's the area of the smaller circle
Jamierox4ev3r
  • Jamierox4ev3r
can you find me the area of the larger circle?
anonymous
  • anonymous
how
anonymous
  • anonymous
this is confusing
Jamierox4ev3r
  • Jamierox4ev3r
just do it with this formula i used earlier \(A=\pi r^{2}\) \(A=pi 5^{2}\) which becomes \(A=\pi 25\)
Jamierox4ev3r
  • Jamierox4ev3r
multiply pi by 25 to find the area of the larger circle
Jamierox4ev3r
  • Jamierox4ev3r
@Marc1313 can you multiply pi by 25 to find the area of the larger circle?
anonymous
  • anonymous
85
anonymous
  • anonymous
@Jamierox4ev3r
Jamierox4ev3r
  • Jamierox4ev3r
actually, 78.54
Jamierox4ev3r
  • Jamierox4ev3r
but close :)
Jamierox4ev3r
  • Jamierox4ev3r
there's one final step to find the answer...set the areas as a ratio, like so: \(\Large\frac{28.27}{78.54}\) ^^ then simplify it :)
anonymous
  • anonymous
78.5
anonymous
  • anonymous
36%
Jamierox4ev3r
  • Jamierox4ev3r
yep :) make sense?
anonymous
  • anonymous
a little
anonymous
  • anonymous
are you sure that si the answer
Jamierox4ev3r
  • Jamierox4ev3r
cool. basically, find the areas, and then make a ratio (fancy way of saying division) :)
Jamierox4ev3r
  • Jamierox4ev3r
positive. I remember this unit now, lol i realized that it wasn't probability, it was just ratios :P
anonymous
  • anonymous
Thank you so much next question

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