Question

Find the probability of choosing a point from the shaded region given below. The radius of the inner circle is 3 inches and the radius of the outer circle is 9 inches.

Answer 1

what kind of question is this....there are infinitely many possibilities.

Answer 2

you cannot have a finite set of points within a set of area.

Answer 3

A. 14/127
B.1/4
C.3/6
D.1/9

Answer 4

OH oops im sorry, I misunderstood

Answer 5

do you know how to find area of a circle? the probability is the area of the little circle divided by the area of the little circle.

Answer 6

no , can you help me find it? please @sylbot

Answer 7

area of a circle with respect to radius is
\[\pi \times r^2\]

Answer 8

so just plug in the radii for each circle and take the area of the little one over the area of the big one to find the probability.

Answer 9

is the radius 8?

Answer 10

@sylbot?

Answer 11

nope, you said it yourself in the question. The radius is 9 and 3 for the bigger and smaller circles respectively.

Answer 12

pi * 9^2 = 254.46 =254.5
pi * 3^2 = 28.27 = 28.3
so what now? @sylbot

Answer 13

now the probability is the smaller area divided by the bigger area.

Answer 14

0.111198428 @sylbot?

Answer 15

sounds right to me!

Answer 16

You might want to leave it like this:
\( \dfrac{ \pi \times 3^2 }{ \pi \times 9^2 } \)
And simplify the fraction by cancelling like factors in numerator and denominator:
\( \dfrac{ \pi \times 9 }{\pi \times 9 \times 9 } \)
That will give an answer from the answer choices.

Otherwise just go through each choice and figure the fraction in decimal form to compare.

Answer 17

1/9 . its D ! thanks again @AccessDenied

Answer 18

thanks @sylbot