Question

The figure below shows a shaded circular region inside a larger circle:
What is the probability that a point chosen inside the larger circle is not in the shaded region?

84%
50%
42%
16%

Answer 1

Hey there!

84% is the correct answer here.

Hope this helped, have a great day :)

Answer 2

Answer:

84%

Step-by-step explanation:

Great question, it is always good to ask away and get rid of any doubts that you may be having.

To solve this problem we first need to calculate the area of the larger circle and the smaller circle. Then we subtract both in order to find the area of the Non-shaded region. The area of the circle is shown in the attached photo below.

$L = \pi 5^{2}$

$L = 78.54$

$S = \pi 2^{2}$

$S = 12.57$

$78.54-12.57 = 65.97 inches$

Now that we have the area of the Non-shaded region, we need to find what percent of the circle that is. We calculate this by dividing that number by the area of the entire circle. Like so,

$\frac{65.97}{78.54}  = 0.839$

Finally, we can see that there is an 84% chance that the point does NOT land in the shaded region.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.