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Mathematics 23 Online
282006:

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?

Kamauri:

do u have any clue what it could be or how to solve it

282006:

no not really

282006:

84% 50% 42% 16%

Narad:

The probability of a point inside the larger circle but not in the shaded circle is \[P=1- (\pi *r ^{2})/(\pi*R ^{2})=1-4/25=21/25=0.84= 84%\]

Kamauri:

@Narad good job

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