Step-by-step explanation:
π is an irrational number
Reason:-
π is defined as the ratio of the circumference of a circle to the diameter of the circle
⇛π = C/d
The diameter and the Circumference of a circle are incommensurable.i.e.there does not exist a common unit to measure that allows us to measure the both. If you measure accurately then atleast either C and d is irrational. So π is regarded as Irrational number.
The decimal expansion of π is non terminating and non recurring decimal.
22/7 is a rational number
Reason:-
7 ) 22 ( 3.142857142857142...
-21
____
10
- 7
____
30
- 28
____
20
- 14
____
60
- 56
_____
40
- 35
____
50
- 49
_____
10
- 7
_____
30
- 28
____
20
- 14
_____
60
- 56
_____
40
- 35
_____
50
- 49
______
10
- 7
______
30
- 28
____
2
22/7 = 3.142857142857...
It is a non terminating and recurring decimal
it is a rational number.
We know that
The decimal form of a rational number is either terminating or non terminating and recurring decimal.
The value of π is closely nearer to 22/7
π= 3.1415...
π≠22/7
We often take 22/7 as an approximate value of π
Answer: From the above given options option (c) {π is irrational and 22/7 is rational} is your correct statement.
Please let me know if you have any other questions.
