Recall- - is defined as the ratio of the circumference say c of a circle to its diameter say d- That is - c - d- This seems to contradict the fact that - is irrational- How can one resolve this contradiction-

Here pi = 22/7 which is a rational no. ,but this is an approximate. If u divide 22 by 7, the quotient (3.14....) is a non terminating non recurring no. i.e. it ...

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Standard IX

Mathematics

Natural Numbers

Recall, π is ...

Question

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 can one resolve this contradiction?

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Solution

Here π = 22/7 which is a rational number, but this is an approximate value of $π$ .
If you divide 22 by 7, the quotient (3.14....) is a non-terminating non-recurring number. hence π is not exactly equal to 22/7.
In conclusion, π is an irrational number.

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

Question 3
Recall, $π$ is defined as the ratio of the circumference (say c) of a circle to its diameter (say d). That is, $π = \frac{c}{d}$ . This seems to contradict the fact that $π$ is irrational. How will you resolve this contradiction?