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
Answers
Answered by
0
Answer:
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)
Step-by-step explanation:
Similar questions