which of the following is a true statement?
Answers
Answer:
b)π is irrational and 22/7 is irrational
Answer:
Option c is true
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
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10
7
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30
28
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20
14
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60
56
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40
35
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50
49
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10
7
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30
28
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20
14
_________
60
56
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40
35
___________
50
49
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10
7
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30
28
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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