What Is The Approximate Value Of Pi Class 8 Maths CBSE - Vedantu
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What is the approximate value of \[\pi\]?Answer
Verified519.9k+ viewsHint: In order to find the approximate value of \[\pi\], we must consider the known value of \[\pi\] i.e. the rational value of \[\pi\]. Since we know that \[\pi\] is an irrational number, we cannot find the exact value of \[\pi\]. Instead we will be finding the approximate or the nearer value of \[\pi\].Complete step by step answer:Let us briefly discuss irrational numbers. Irrational numbers are those numbers that are real but cannot be expressed in the form of a fraction which means it cannot be expressed in the form of \[\dfrac{p}{q}\] where \[p,q\] are integers and \[q\ne 0\]. The decimal expansion of an irrational number is neither terminating nor recurring. We can find whether a number is irrational or not by trying to express the number in the \[\dfrac{p}{q}\] form. Irrational numbers are a part of real numbers which means that they obey all the properties of real numbers. The most common or known irrational numbers are \[\pi\], Euler’s number and Golden ratio.Now let us find the approximate value of \[\pi\].The rational form of \[\pi\] is \[\dfrac{22}{7}\]. This is considered as the approximate value of \[\pi\].The decimal expansion of \[\dfrac{22}{7}\] would be \[\dfrac{22}{7}=3.1415...\]\[\therefore \] The approximate value of \[\pi\] is \[\dfrac{22}{7}\].Note: We can consider the value of \[\pi\] according to our convenience either the fractional form of the decimal form. We must have a note that the least common multiple of two irrational numbers may or may not exist. It obeys properties such as the addition and the multiplication.
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What is the approximate value of \[\pi\]?Answer
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Then22/7 = 3.142857....... If The Value Of N(pi) Is In Fraction Form 22/7 ...