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 2 inches and below r equal to 2 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?

Answer 1

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 2 inches and below r equal to 2 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?

84%
50%
42%
16%

Answer 2

@Michele_Laino please help last one

Answer 3

where is the figure?

Answer 4

first step:
we have to compute the area of both circle

Answer 5

circles*

Answer 6

Lol you don't need the figure for this one

Answer 7

we have:
A1= 3.14* 5*5=...?
A2= 3.14*2*2=...?

Answer 8

78.5
12.56

Answer 9

correct!
Now the probability to get a point inside the littlest circle, is:
favorable cases/ possible cases= 12.56/78.5=...

Answer 10

0.16

Answer 11

so the answer is D

Answer 12

sorry, we have to compute the difference between those areas:
78.5-12.56=...?

Answer 13

65.94

Answer 14

correct!

Answer 15

now, the requested probability, is given by the subsequent formula:
p= favorable cases / possible cases = 65.94/78.5=...?

Answer 16

0.84 SO ITS A

Answer 17

yes! that's right!

Answer 18

ok thanks

Answer 19

:)