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why is the value of pi 3.14?

why is the value of pi 3.14?

Grade:12

4 Answers

mannam kiran kumar
40 Points
8 years ago

the pi value 3.14 because it is the ratio of the curcumeference and diameter of circle. (C/D) here The circumference of a circle is slightly more than three times as long as its diameter. The exact ratio is called π.    The ratio C/d is constant, regardless of the circle''s size. For example, if a circle has twice the diameter of another circle it will also have twice the circumference, preserving the ratio C/d. This definition of π is not universal, because it is only valid in flat (Euclidean) geometry and is not valid in curved (non-Euclidean) geometries. For this reason, some mathematicians prefer definitions of π based on calculus or trigonometry that do not rely on the circle. One such definition is: π is twice the smallest positive x for which cos(x) equals 0.

Archimedes computed upper and lower bounds of π by drawing a regular hexagon inside and outside a circle, and successively doubling the number of sides until he reached a 96-sided regular polygon. By calculating the perimeters of these polygons, he proved that 223/71 < π < 22/7 (3.1408 < π < 3.1429). Archimedes'' upper bound of 22/7 may have led to a widespread popular belief that π is equal to 22/7.

 

The Great Pyramid at Giza, constructed c. 2589–2566 BC, was built with a perimeter of about 1760 cubits and a height of about 280 cubits; the ratio 1760/280 ≈ 6.2857 is approximately equal to 2π ≈ 6.2832.


KADAMBALA VAMSI
35 Points
8 years ago

BECAUSE PI VALUE IS 22/7

BY SIMPLYFIY THIS VALUE WE GET PI VALUE 3.14

Salim Shamim
37 Points
8 years ago
3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679
8214808651328230664709384460955058223172535940812848111745028410270193852110555964462294895493038196
4428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273
7245870066063155881748815209209628292540917153643678925903600113305305488204665213841469519415116094
3305727036575959195309218611738193261179310511854807446237996274956735188575272489122793818301194912
983367336244065664308602139494639522473719070217986094370277053921717629317675238467481846766940513200056812714526356082778577134275778960917363717872
14684409012249534301465495853710507922796892589235
4201995611212902196086403441815981362977477130996051870721134999999837297804995105973173281609631859
5024459455346908302642522308253344685035261931188171010003137838752886587533208381420617177669147303
598253490428755468731159562863882353787593751957781857780532171226806613001927876611195909216420198
G Ashwin -
24 Points
8 years ago

Archimedes first calculated pi by using successive approximations with a compass. The most accurate
figure he could come up with was best expressed as
the fraction 22/7. However even he knew that he was limited by his crude tools. Pi is an irrational number.
This has been proven mathematically.
That means there is no fraction that can express it
exactly. As a decimal, it does not end or repeat.

pi=3.14159 26535 89793 23846.....

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