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Mathematics 6 Online
OpenStudy (anonymous):

Pi can be written as circumference/diameter for a circle. But pi is irrational, then how can it be represented in the form of a rational number(c/d)?

OpenStudy (anonymous):

3.14

Parth (parthkohli):

22/7 is the approximate form of pi.

OpenStudy (anonymous):

But that isn't my question.

Parth (parthkohli):

22/7 is not the exact value of pi.

OpenStudy (anonymous):

If pi is irrational, then how can circumference/diameter be pi because c/d should be rational.

Parth (parthkohli):

22 / 7 = 3.14285714 Exact value of pi is = 3.14159265

Parth (parthkohli):

@pratu043 No, we can't say that.

OpenStudy (anonymous):

what do you mean?

Parth (parthkohli):

It's not necessary that when two rational numbers are divided, we'll get a rational number.

OpenStudy (anonymous):

Can you give an example?

Parth (parthkohli):

An example is pi :P

OpenStudy (anonymous):

But 22/7 is rational. If you divide, you'll get a recurring decimal.

Parth (parthkohli):

Definition of a rational number is that it can be expressed in the form of the division of two INTEGERS.

Parth (parthkohli):

22/7 is not pi.

Parth (parthkohli):

22/7 is the approximate value of pi.

OpenStudy (anonymous):

OK, first pi is irrational right?

Parth (parthkohli):

Yes.

OpenStudy (anonymous):

@ParthKohli are you there?

Parth (parthkohli):

Yes, I am

OpenStudy (anonymous):

Pi can be written as circumference/diameter. But pi is irrational, then how can it be represented in the form of a rational number?

Parth (parthkohli):

You're not getting the point.

Parth (parthkohli):

Circumference and diameter. Both have to be integers, but they can't be.

OpenStudy (anonymous):

Circumference and diameter of a circle are integers right?

OpenStudy (anonymous):

Or at least in some cases.

Parth (parthkohli):

No. They can't be at the same time. never.

OpenStudy (anonymous):

So, circumference and diameter of a circle are never both integers?

Parth (parthkohli):

Yes.

OpenStudy (anonymous):

Let me guess .... its because we take pi as 22/7?

OpenStudy (anonymous):

Am I right?

Parth (parthkohli):

Theyre taken as 22/7 or 3.14 for simplicity :)

OpenStudy (anonymous):

Thanks!!!

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