prove that "π=22/7 or 3.14"
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As we know that perimeter of circle is 2πr
In which π is equal to 22/7.
Proofs of the famous mathematical result that the rational number 22/7 is greater than π (pi) date back to antiquity. One of these proofs, more recently developed but requiring only elementary techniques from calculus, has attracted attention in modern mathematics due to its mathematical elegance and its connections to the theory of diophantine approximations. Stephen Lucas calls this proof “one of the more beautiful results related to approximating π”.Julian Havil ends a discussion of continued fractionapproximations of π with the result, describing it as “impossible to resist mentioning” in that context.
The purpose of the proof is not primarily to convince its readers that 22/7 (or 31⁄7) is indeed bigger than π; systematic methods of computing the value of π exist. If one knows that π is approximately 3.14159, then it trivially follows that π < 22/7, which is approximately 3.142857. But it takes much less work to show that π < 22/7 by the method used in this proof than to show that πis approximately 3.14159.
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In which π is equal to 22/7.
Proofs of the famous mathematical result that the rational number 22/7 is greater than π (pi) date back to antiquity. One of these proofs, more recently developed but requiring only elementary techniques from calculus, has attracted attention in modern mathematics due to its mathematical elegance and its connections to the theory of diophantine approximations. Stephen Lucas calls this proof “one of the more beautiful results related to approximating π”.Julian Havil ends a discussion of continued fractionapproximations of π with the result, describing it as “impossible to resist mentioning” in that context.
The purpose of the proof is not primarily to convince its readers that 22/7 (or 31⁄7) is indeed bigger than π; systematic methods of computing the value of π exist. If one knows that π is approximately 3.14159, then it trivially follows that π < 22/7, which is approximately 3.142857. But it takes much less work to show that π < 22/7 by the method used in this proof than to show that πis approximately 3.14159.
Thank You!!!
Hope this will be helpful for you.
manoj159:
I want that how π=22/7
Proofs of the famous mathematical result that the rational number 22/7 is greater than π (pi) date back to antiquity. One of these proofs, more recently developed but requiring only elementary techniques from calculus, has attracted attention in modern mathematics due to its mathematical elegance and its connections to the theory of diophantine approximations. Stephen Lucas calls this proof “one of the more beautiful.
Mark me as brainliest manoj159
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