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%

- anonymous

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- schrodinger

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- anonymous

@Jamierox4ev3r

- anonymous

@Jamierox4ev3r

- anonymous

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## More answers

- Jamierox4ev3r

shoot I'm not sure about the whole probability thing x'D

- Jamierox4ev3r

but you could solve for area. and then make those ratios

- anonymous

@iGreen

- anonymous

@whpalmer4

- anonymous

@iGreen

- Jamierox4ev3r

oh wait nvm i remember x'D lol sorry

- anonymous

ok

- Jamierox4ev3r

so yeah. find area.
the formula is \(\pi r^{2}\)

- Jamierox4ev3r

let's start with the smaller circle:
\(A=\pi r^{2}\)
A=\(\pi 3^{2}\)

- Jamierox4ev3r

so multiply pi by 2.... what do you get? @Marc1313

- anonymous

3.14 by 2?

- anonymous

6.28

- Jamierox4ev3r

i meant by 9..lol sorry xD since \(3^[2]\) is 9

- anonymous

28.26

- Jamierox4ev3r

**\(3^{2}\)

- Jamierox4ev3r

yep. so that's the area of the smaller circle

- Jamierox4ev3r

can you find me the area of the larger circle?

- anonymous

how

- anonymous

this is confusing

- Jamierox4ev3r

just do it with this formula i used earlier
\(A=\pi r^{2}\)
\(A=pi 5^{2}\)
which becomes
\(A=\pi 25\)

- Jamierox4ev3r

multiply pi by 25 to find the area of the larger circle

- Jamierox4ev3r

@Marc1313 can you multiply pi by 25 to find the area of the larger circle?

- anonymous

85

- anonymous

@Jamierox4ev3r

- Jamierox4ev3r

actually, 78.54

- Jamierox4ev3r

but close :)

- 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

78.5

- anonymous

36%

- Jamierox4ev3r

yep :) make sense?

- anonymous

a little

- anonymous

are you sure that si the answer

- Jamierox4ev3r

cool. basically, find the areas, and then make a ratio (fancy way of saying division) :)

- Jamierox4ev3r

positive. I remember this unit now, lol i realized that it wasn't probability, it was just ratios :P

- anonymous

Thank you so much next question

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