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3 years ago

If the circumference of a circle is rational, the area is always rational.

Mathematics

1 answer:

sineoko [7]3 years ago

7 0

Answer:

Yes!!!

Step-by-step explanation:

Since π is non-terminating non-recurring i.e., an irrational, thus the area will always be rational provided with the circumference is rational.

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In general, it would appear that

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$\displaystyle\sum_{k=0}^{2\lfloor\frac{n-1}2\rfloor+1}\binom n{2k+1}=2^{n-1}$

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