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Two circles have the same center C. (Circles which have the same center are called concentric.) The larger circle has radius 10 and the smaller circle has radius 8. Determine the area of the ring between these two circles.

 Apr 22, 2021
 #1
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The area of large circle is 100pi (pi*10^2)

The area of short circle is 64pi (pi*8^2)

 

100pi-64pi = 36pi

 

=^._.^=

 Apr 22, 2021
 #2
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For this question, you don't have to have any formula for finding the area of the ring, all you need to do is subtract the area of the smaller ring from the bigger one.

 

So, let us figure out the areas of each of the circles.

 

Cpi*r^2 = pi * 8^2 = 64pi

 

C2 pi*r^2 = pi * 10^2 = 100pi

 

Now that we have the two areas, we can subtract Cfrom C2 to get our final answer.

 

Therefore:

 

C2 - C1 = 100pi - 64pi = 36pi

 

So, the area of the ring between these two circles is 36pi.

 Apr 22, 2021

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