- is defined as the ratio of the circumference C of a circle to its diameter d- -C-d This seems to contradict the fact that - is irrational- How to resolve the contradiction-

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Standard XII

Mathematics

Definition of Function

π is defined ...

Question

$π$ is defined as the ratio of the circumference C of a circle to its diameter d. $π = \frac{C}{d}$ This seems to contradict the fact that $π$ is irrational. How to resolve the contradiction?

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Solution

22/7 and 3.14 are the approximate value of pi which is used for calculation. The actual value of pi is 3.14159265358979323846264338327950288419716939937510582097494459230781640628................ which is non-terminating and non-recurring. Hence pi is a irrational number.

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Similar questions

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?

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?

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?

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?

Q. 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?

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π is defined as the ratio of the circumference C of a circle to its diameter d. π=CdThis seems to contradict the fact that π is irrational. How to resolve the contradiction?

22/7 and 3.14 are the approximate value of pi which is used for calculation. The actual value of pi is 3.14159265358979323846264338327950288419716939937510582097494459230781640628................ which is non-terminating and non-recurring. Hence pi is a irrational number.

$π$ is defined as the ratio of the circumference C of a circle to its diameter d. $π = \frac{C}{d}$ This seems to contradict the fact that $π$ is irrational. How to resolve the contradiction?