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anonymous
 one year ago
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 4 inches and below r equal to 4 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?
anonymous
 one year ago
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 4 inches and below r equal to 4 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?

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0one of these is answer ^

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2You need to find what percentage of the large circle is the unshaded area. The unshaded region is the difference in the areas of the circles. First, find the areas of the two circles.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Do you know hoe to find the area of a circle?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Here is the formula: \(\large A_{circle} = \pi r^2\)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2pi times 5 squared pi times 4 squared

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Remember the radius is squared in the formula for the area of a circle.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2This is how you find the areas of the circles: pi * 5 * 5 pi * 4 * 4

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so its 78.5 and 50.24?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@mathstudent55 so its 78.5 and 50.24?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Good. Now let's find the unshaded area. Subtract the smaller area form the larger area.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@mathstudent55 so 28.26?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Correct. Now you need to calculate what percentage of the large circle is the unshaded area.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2The unshaded area if the part. The large circle is the whole. To find what percent a part is of a whole, divide the part by the whole and multiply by 100.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Here is an example. Do you know that 50% means half?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Ok. Now I'm going to follow the rule above of finding a percent and show you how 50% means half. Since you already know that 50% means half, you'll understand this more easily. Then we can try the problem again.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.25 is half of 10. Since we know that 50% means half, we know that 5 is 50% of 10. What if we had to find what percentage of 10 is 5? We follow the rule above. 5 is the part. 10 is the whole. To find a percentage, divide the part by the whole and multiply by 100. 5/10 * 100 = 0.5 * 100 = 50 This shows us that 5 is 50% of 10.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Here is a second example. We know that 25% is a quarter. 6 is a quarter of 24, so 6 must be 25% of 24. Let's calculate it to see how it's done. 6 is the part 24 is the whole 6/24 * 100 = 0.25 * 100 = 25 This shows that 6 is 25% of 24

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0sorry i already finished it :P my brother answered it for me

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Now we can do the same with your problem. We have the unshaded area, 28.26. This is the part. The whole is 78.5. The percentage is: 28.26/78.5 * 100 = 36 The answer is 36%

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Did your brorther get 36%?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Great. If your brother can help you, that's great. It's easier to help if you're there than through a computer.
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