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This figure shows five shaded circles within a circle of radius 7 units. The four small congruent shaded circles are tangent to the outer circle and to the large shaded circle. The radius of each of the smaller shaded circles is 1/5 the radius of the large shaded circle. What fraction of the largest circle's area is shaded? Express your answer as a common fraction.
 

 Jan 12, 2020
 #1
avatar+118587 
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This cannot be answered without the picture.

 Jan 13, 2020
 #2
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LInk: https://www.chegg.com/homework-help/questions-and-answers/figure-shows-five-shaded-circles-within-circle-radius-7-units-four-small-congruent-shaded--q23591399

 Jan 13, 2020
 #3
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The answer is 3/8.

 Jan 13, 2020
 #4
avatar+118587 
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Here is the question

 

 Jan 13, 2020
 #5
avatar+118587 
+1

Here is your pic, drawn to scale

the radius of the bigest circle is 7

the radius of the second biggest circle is 5

the radius of the little circles is 1

 

Now you can work out all the areas that are needed and find the fraction requested.

 

 

 Jan 13, 2020

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