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Q.

Recall, is defined as the ratio of the circumference (say c) of a circle to its diameter (say d). That is, This seems to contradict the fact that π is irrational. How will you resolve this contradiction?

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a

π as of

.

b

π as of

.

c

π as of

.

d

π as of

.

answer is D.

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Detailed Solution

If π = c/d = 22/7, which equals 3.142… which is a non-terminating non-repeating decimal.
Therefore, π is irrational.
When we measure a value with a scale, we only get an approximate value. We will never get the exact value.
Therefore, we may not be aware of whether c or d is irrational.
The value of π is almost equal to 22/7 or 3.142857…
This solved the contradiction of the value of π to the day

.
So, option 4 is correct.

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