Ok , is π = 22\7 ? , prove ur answer , wrong answer to be reported , 50 points !!
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Answered by
13
Hey ,
No , π is not = 22\7 , why ?
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see , what is π , rational or irrational ?
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irrational right .
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and what is 22\7 ?
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Rational !
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how can a rational and a irrational number be equal ?
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furthermore 22/7 is non- terminating and repeating
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whereas π is non-repeating , nonterminating .
so , π is not = 22\7 .( its just assumed to make calculations easier.)
No , π is not = 22\7 , why ?
.
.
.
.
see , what is π , rational or irrational ?
.
.
.
irrational right .
.
.
and what is 22\7 ?
.
.
.
Rational !
.
.
how can a rational and a irrational number be equal ?
.
.
furthermore 22/7 is non- terminating and repeating
.
.
whereas π is non-repeating , nonterminating .
so , π is not = 22\7 .( its just assumed to make calculations easier.)
DavidSuperior:
cool
Answered by
6
nice question , why π = 22/7 ????
first we understand what is π ???
π is defined by many theory ,
but simply π is the ratio of circumference of circle to diameter of that circle .
π = circumference/diameter
now, this is not easy to find out length of circumstances , becoz this is not straight . this is curve ( e.g circle)
mathematican gives a symbol which gives knowledge for finding length of circumstances e.g π
another way we know that π denotes the angle e.g 180°
π = 180° degree
but we assume circle is 360°
then, in radian angle = 2π
we also know ,
∅ = l/r
where l is length of curve part ,
r is the raius of that curve part
if angle 2π then, l = circumference circle
2π = circumference /r
circumference = 2πr ----(1)
according to above explanation , we understand π is only assumption for solving problems .
if you see deeply , we said that we can't find out adject value of circumference .
becoz we don't know adject value of π .
this is irrational , non repeating .
now , mathematician had challenge to find that value which is a irrational as well as non - repeating . many years after they succeed to finding that value ,
e.g 22/7 this is a rational number ,
but of we divide this then, number is an irrational and but repeating .
e.g 22/7 = 3.142857............
now, mathematician assume that
π = 22/7 but this is not actually only assumption , and by this problem solve easily . so, we use π = 22/7
first we understand what is π ???
π is defined by many theory ,
but simply π is the ratio of circumference of circle to diameter of that circle .
π = circumference/diameter
now, this is not easy to find out length of circumstances , becoz this is not straight . this is curve ( e.g circle)
mathematican gives a symbol which gives knowledge for finding length of circumstances e.g π
another way we know that π denotes the angle e.g 180°
π = 180° degree
but we assume circle is 360°
then, in radian angle = 2π
we also know ,
∅ = l/r
where l is length of curve part ,
r is the raius of that curve part
if angle 2π then, l = circumference circle
2π = circumference /r
circumference = 2πr ----(1)
according to above explanation , we understand π is only assumption for solving problems .
if you see deeply , we said that we can't find out adject value of circumference .
becoz we don't know adject value of π .
this is irrational , non repeating .
now , mathematician had challenge to find that value which is a irrational as well as non - repeating . many years after they succeed to finding that value ,
e.g 22/7 this is a rational number ,
but of we divide this then, number is an irrational and but repeating .
e.g 22/7 = 3.142857............
now, mathematician assume that
π = 22/7 but this is not actually only assumption , and by this problem solve easily . so, we use π = 22/7
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