Respuesta :
Answer: The answer is (d) It is an irrational number.
Step-by-step explanation: Given formula for circumference of a circle is
[tex]\textup{c}=\textup{r d},[/tex]
where 'd' is the length of the diameter and a rational number.
We are to choose one of the given four options for the circumference 'c' of the circle.
We know that the circumference of a circle with diameter 'd' is given by
[tex]\textup{c}=\pi \textup{d},[/tex]
Comparing this with the given equation, we get
[tex]r=\pi,~\textup{where}~\pi~\textup{is an irrational number}=\dfrac{22}{7}.[/tex]
Now, the product of a rational and an irrational number is again irrational, so 'r × d' will be an irrational number.
Hence, the circumference, c = rd is irrational.
Thus, the correct option is (d) It is an irrational number.
Answer:
The statement that is true about the circumference of the circle is:
- It is an irrational number.
Step-by-step explanation:
The formula for the circumference of a circle is :
c=πd where d is the length of the diameter.
and π is a irrational number.
If d is a rational number, then as we know that the multiplication of a rational and a irrational number is always irrational.
Hence, the value of circumference is an irrational number.
