3. Recall, π is defined as the ratio of the circumference (say c) of a circle to its diameter
(say d). That is, π =
c/d
⋅ This seems to contradict the fact that π is irrational. How will
you resolve this contradiction?
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Answer:
Recall, π is defined as the ratio of the circumference (say c) of a circle to its diameter (say d). That is, π=cd. This seems to contradict the fact that π is irrational. ... Here the circumference of the circle (c) of the circle is given by 2πr, where r is the radius of the circle.
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Answer:
There is no contradiction.
When we measure a value with scale, we only obtain an approximate value. We never obtain an exact value.
Therefore, we may not realize that either circumference or diameter is irrational. The value of
is almost equal 22/7 or 3.142
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