Question

Recall,π is defined as the ratio of the circumference (say c) of a circle to its diameter (say d) .that is π = c/d .this seems to contradict the fact that π is irrational .How will you resolve this contradiction?plz answer the question it's urgent plz answer this question​

Answer 1

Answer:

When we measure a length with a scale or any other device, we only get an approximate rational value.  

Therefore we may not realise that c or d is irrational.

Circumference c or the perimeter of a circle is given by 2πr,

where r is the radius of the circle

π is approximated as 3.14 or  

7

22

​  

 

Also diameter(longest chord of circle) of the circle is equal to 2r.

Hence, c=(2πr),d=2r⇒  

d

c

​  

=π

This is analogous to the approximated value of  

7

22

​  

 which though looks like a rational number of the form  

q

p

​  

 (q!=0)

But when computed corresponds to a real value of ~3.14.

And real numbers consists of irrational numbers.

Hence, there is no contradiction in the equation =  

d

c

​  

.

Step-by-step explanation: