Nimo M.

asked • 10/29/15

Following proof that different circles have the same circumference

Suppose a wheel is rolled for exactly one rotation. The distance traveled is equal to the circumference of the wheel.
Distance traveled by the wheel equals the circumference
Now suppose two wheels of different sizes are joined with a common axle. the two wheels are rolled for one rotation. The two lines traced by the bottom of the wheels are the same length so both circles must have the same circumference.
 
Q.) Explain why the argument is not reasonable.

1 Expert Answer

By:

Arnold F. answered • 10/29/15

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College Professor & Expert Tutor In Statistics and Calculus

Nimo M.

no this is not a real world example
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10/29/15

Nimo M.

but the question I presume it's asking is if the circles are different in size could they have the same circumference 
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10/29/15

Arnold F.

Circles (wheels) of different sizes cannot have the same circumferences. The conclusion that the marks made by the rotating wheels will be the same can't happen.
 
In terms of a "valid" argument it might be considered valid only because a false premise is used to prove a false conclusion.
 
 
Nimo, I don't know what class you are taking but I teach classes in finite math, logic, etc. If you think you might benefit from one on one lessons please send me a message with any questions you might have on my tutoring.
Arnold
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10/29/15

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