<PRE><B>Question 1133030</B>
the formula for circumfernce of a circle is 2 * pi * r or pi * d.


the small wheel has a diameter of 20 millimeters.
the large wheel has a diameter of 200 millimeters.


the circumference of the small wheel is equal to 20 * pi millimeters.
the circumference of the large wheel is equal to 200 * pi millimeters.


if the large wheel is rotating the small wheel, then the large wheel will make the small wheel turn 10 times for one turn of the large wheel.


one turn is equal to 360 degrees.


60 degrees is equal to 60 / 360 = 1/6 times one turn.


when the large wheel is rotating 1/6 of a turn, then the small wheel is rotating 10 * 1/6 of a turn which is equal to 10 / 6 turns


10 / 6 turns is equivalent to 5 / 3 turns.


1/6 turns of the large wheel therefore causes 1 and 2/3 turns of the small wheel.


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