CBSE Class 10 Answered
how pi came
Asked by chanti PANCHADHARA | 10 Jun, 2013, 08:24: PM
Expert Answer
The early history of N (pi) from textual sources roughly parallels the development of mathematics as a whole.
Early evidence points toward use of an approximation for the length of 'circumference' with respect to its 'radius' (~ 3 1/7) in the designs of the pyramids in Egypt. The Great Pyramid (2500 BC) was built with a perimeter of 1760 royal cubits (1 royal cubit ~ 20.64 inches or 525 mm) and a height of 280 cubits; the ratio 1760/280 ~ 2? ~ 6.29. (N ~ 3.14)
Pi was discovered by the Greeks by a process called exhaustion. They observed that any polygon could be divided into triangles whose areas could be combined to get the area of the shape, so they tried the same thing with circles. They then factored in the radius of the circle, and they found pi. These triangles can theoretically get infinitely smaller, which is why pi is an irrational number.
Early evidence points toward use of an approximation for the length of 'circumference' with respect to its 'radius' (~ 3 1/7) in the designs of the pyramids in Egypt. The Great Pyramid (2500 BC) was built with a perimeter of 1760 royal cubits (1 royal cubit ~ 20.64 inches or 525 mm) and a height of 280 cubits; the ratio 1760/280 ~ 2? ~ 6.29. (N ~ 3.14)
Pi was discovered by the Greeks by a process called exhaustion. They observed that any polygon could be divided into triangles whose areas could be combined to get the area of the shape, so they tried the same thing with circles. They then factored in the radius of the circle, and they found pi. These triangles can theoretically get infinitely smaller, which is why pi is an irrational number.
Answered by | 11 Jun, 2013, 02:35: AM
Application Videos
-
Relation between HCF and LCM
This video describe Relation between HCF and LCM. -
HCF of given two numbers
This video explains the Method of division algorithm to find the HCF of the... -
Word Problem based on LCM and HCF
This video explains the use of LCM and HC in solving a word problem. -
LCM and HCF
The video describes to find the HCF of two numbers
-
Relation between LCM and HCF
The video describes the relation between LCM and HCF & the numbers
Concept Videos
-
Euclid's Division Lemma and Algorithm ...
This video explains the statement of Euclid's Division lemma and algorithm ... -
Fundamental Theorem of Arithmetic ...
Determination of H.C.F and L.C.M of numbers using Prime Factorization and ... -
Rational and Irrational Numbers
Discuss rational and irrational numbers and express them on the number lin... -
Euclid's Division Lemma and Algorithm
This video explains the statement of Euclid's Division lemma and algorithm ... -
Fundamental Theorem of Arithmetic
Determination of H.C.F and L.C.M of numbers using Prime Factorization and s...
CBSE 10 - Maths
Asked by nagalaxmidurgarao937 | 08 Apr, 2024, 01:42: PM
ANSWERED BY EXPERTCBSE 10 - Maths
Asked by sagarmishra | 14 Mar, 2024, 12:11: PM
ANSWERED BY EXPERTCBSE 10 - Maths
Asked by apekshab05918 | 15 Feb, 2024, 11:29: AM
ANSWERED BY EXPERTCBSE 10 - Maths
Asked by sitalagrawal969 | 21 Jan, 2024, 11:48: AM
ANSWERED BY EXPERTCBSE 10 - Maths
Asked by bhaskrraobhaskrrao | 18 Jan, 2024, 08:35: PM
ANSWERED BY EXPERTCBSE 10 - Maths
Asked by randhirpandey196 | 16 Jan, 2024, 03:29: PM
ANSWERED BY EXPERTCBSE 10 - Maths
Asked by scs902692 | 11 Jan, 2024, 08:49: PM
ANSWERED BY EXPERTCBSE 10 - Maths
Asked by reddyjaswamth | 10 Jan, 2024, 01:49: PM
ANSWERED BY EXPERTCBSE 10 - Maths
Asked by dc5756069 | 09 Jan, 2024, 07:35: AM
ANSWERED BY EXPERT
Get in Touch
