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Recall, pi is defined as the ratio of th...

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

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To resolve the contradiction between the definition of π (pi) as the ratio of the circumference (C) of a circle to its diameter (D) and the fact that π is an irrational number, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Definition of π**: - We start with the definition of π, which is given by the formula: \[ \pi = \frac{C}{D} ...
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Recall, pi is defined as the ratio of the circumference (say c ) of a circle to its diameter (say d). That is , pi = c/d . This seems to contradict the fact that pi is irrational. How will you resolve this contradiction ?

Ratio of circumference of a circle to its radius is always 2 pi : I .

Knowledge Check

  • The circumference of a circle exceeds its diameter by 60 cm. The area of the circle is: Take ( pi = (22)/(7))

    A
    `536 cm^(2)`
    B
    `1078 cm^(2)`
    C
    `346.5 cm^(2)`
    D
    `616 cm^(2)`
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