Mathematics
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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)?
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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.
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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?
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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.
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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?
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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.
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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 :)
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OpenStudy (anonymous):
Thanks!!!