Question

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%

Answer 1

@Jamierox4ev3r

Answer 2

@Jamierox4ev3r

Answer 3

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

Answer 4

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

Answer 5

@iGreen

Answer 6

@whpalmer4

Answer 7

@iGreen

Answer 8

oh wait nvm i remember x'D lol sorry

Answer 9

ok

Answer 10

so yeah. find area.

the formula is \(\pi r^{2}\)

Answer 11

let's start with the smaller circle:

\(A=\pi r^{2}\)
A=\(\pi 3^{2}\)

Answer 12

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

Answer 13

3.14 by 2?

Answer 14

6.28

Answer 15

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

Answer 16

28.26

Answer 17

**\(3^{2}\)

Answer 18

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

Answer 19

can you find me the area of the larger circle?

Answer 20

how

Answer 21

this is confusing

Answer 22

just do it with this formula i used earlier

\(A=\pi r^{2}\)

\(A=pi 5^{2}\)

which becomes

\(A=\pi 25\)

Answer 23

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

Answer 24

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

Answer 25

85

Answer 26

@Jamierox4ev3r

Answer 27

actually, 78.54

Answer 28

but close :)

Answer 29

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 :)

Answer 30

78.5

Answer 31

36%

Answer 32

yep :) make sense?

Answer 33

a little

Answer 34

are you sure that si the answer

Answer 35

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

Answer 36

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

Answer 37

Thank you so much next question