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This makes me hungry for pie.


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B. [3 full revolutions]

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B
Since the radius of B is 3A, then the diameters and circumferences are also the same ratios, 3x.


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Ans. “E”

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E.


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please don't ruin it.

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Solution: using 9 so you can easily use 3 to do the computation.

3.14172 (r) (r)

3.14172 (9) (9) = 254.46 circumference

3.14172 (3) (3) = 28.27 circumference

254.46 \ 28.27 = 9 ans. “E”

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(E) 9

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Circumference is 2*pi*R

Area is pi*R(squared)

Hint: the smaller circle follows a linear path along the bigger circle's circumference while rotating

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Originally Posted by Digby
Solution: using 9 so you can easily use 3 to do the computation.

3.14172 (r) (r)

3.14172 (9) (9) = 254.46 circumference

3.14172 (3) (3) = 28.27 circumference

254.46 \ 28.27 = 9 ans. “E”


Wow! How many errors can YOU spot here?


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The answer is 3.

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Originally Posted by Jerryv
Originally Posted by Digby
Solution: using 9 so you can easily use 3 to do the computation.

3.14172 (r) (r)

3.14172 (9) (9) = 254.46 circumference

3.14172 (3) (3) = 28.27 circumference

254.46 \ 28.27 = 9 ans. “E”


Wow! How many errors can YOU spot here?
Yeah you forgot to double the radius to get the diameter.

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Watching with interest.

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hint , take two quarters and assume the radius of A and B are equal , rorate one quarter around the second one and count the number of revolution.

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The circumference of the large circle is 3.14*2*R
The circumference of the small circle is 3.14*2*1/3R
If we divide the small circle circumference into the large circle circumference, we will get the number of full revolutions of the small circle.

3.14*2*R
-----------
3.14*2*1/3R

3.14, 2 and R cancel each other. You end up with 1 over 1/3 which is 3.

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