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Mensa Question

That is puzzling. Seems like the answer would be the circumference of the large circle over the circumference of the small circle.
 
That is puzzling. Seems like the answer would be the circumference of the large circle over the circumference of the small circle.
That may work too, but I think it’s about the radius and how far the center point of the little circle moves around the big circle.
 
Watch the video.

I started where you are, but that’s not the right answer. He proves it.
I did but I can't see how something with a circumference of 1 avoids rotating exactly 3 times going around something with a circumference of 3.

I'd like to see video in slow motion with equal incremental markings on the circles. Like if the small one rolls an inch, how is it not in an inch different position on the large one?
 
I did but I can't see how something with a circumference of 1 avoids rotating exactly 3 times going around something with a circumference of 3.

I'd like to see video in slow motion with equal incremental markings on the circles. Like if the small one rolls an inch, how is it not in an inch different position on the large one?
Did you make it far enough to get to the part where he compares a circle to a straight line?

He addresses that question.
 
Did you make it far enough to get to the part where he compares a circle to a straight line?

He addresses that question.
I did but it doesn't make sense yet. That's like saying, if I drive 60 mph in a straight line, it will take 3 minutes to go 3 miles but, if I drive in a circle, it will take 4 minutes to go 3 miles.
 
I did but it doesn't make sense yet. That's like saying, if I drive 60 mph in a straight line, it will take 3 minutes to go 3 miles but, if I drive in a circle, it will take 4 minutes to go 3 miles.
I told you I nearly hurt myself trying to figure it out!

Maybe it has something to do with circles and straight lines.

If you drive in a straight line your two front wheels rotate the exact same number of rotations. What happens to my outside wheels when I drive that same distance in a circle?
 
I told you I nearly hurt myself trying to figure it out!

Maybe it has something to do with circles and straight lines.

If you drive in a straight line your two front wheels rotate the exact same number of rotations. What happens to my outside wheels when I drive that same distance in a circle?
I'm hung up on the point where the circles touch and one circle's circumference being 3 times the distance of the other.

Like if you mark the circles in numbered one inch increments and you start with the number 1 mark on both circles touching....when you roll the smaller circle until the number 2 mark is touching the larger circle, how are you not touching the number 2 mark on the larger circle?
 
I'm hung up on the point where the circles touch and one circle's circumference being 3 times the distance of the other.

Like if you mark the circles in numbered one inch increments and you start with the number 1 mark on both circles touching....when you roll the smaller circle until the number 2 mark is touching the larger circle, how are you not touching the number 2 mark on the larger circle?
I don't know.

The trippier thing is if you change your perspective from the large circle to the smaller circle I think the answer goes from 4 to 3...meaning the right answer was on the test, but the question wasn't asked correctly.
 
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