How did aryabhata calculate pi?
More than 4700 years ago, the famous Indian mathematician and astronomer Aryabhatta (b. 2765 BC) gave 62832/20000 = 31416/10000 = 3.1416 as an approximation of π [21]. He calculated π by measuring the diameter of the circle in a remainderless unit and then measuring the circumference in the same unit.
Who first discovered the value of pi?
Archimedes of Syracuse
The first calculation of π was done by Archimedes of Syracuse (287–212 BC), one of the greatest mathematicians of the ancient world.
Did Aryabhata invented zero?
Aryabhata is the first of the great astronomers of the classical age of India. He was born in 476 AD in Ashmaka but later lived in Kusumapura, which his commentator Bhaskara I (629 AD) identifies with Patilputra (modern Patna). Aryabhata gave the world the digit “0” (zero) for which he became immortal.
When did India discover pi?
The first use of mathematics in the Indian subcontinent was in the Indus valleyand dates as far back as 3000BC. Pi is the 16 th letter of the Greekalphabetand symbolically represented as π and has been introduced to our universe near About 4000 year ago.
Did aryabhatta invented zero or brahmagupta?
Early researchers tended to call the kha Aryabhatta’s version of the zero numeral. But this view seems to have changed since then. Instead, credit for pushing the idea of zero even further than Aryabhatta is given to another ancient Indian mathematician, Brahmagupta, who lived around a century later.
What did aryabhatta found?
What did Aryabhata discover? Aryabhata discovered an approximation of pi, 62832/20000 = 3.1416. He also correctly believed that the planets and the Moon shine by reflected sunlight and that the motion of the stars is due to Earth’s rotation.
Which book is written by aryabhatta?
Aryabhatiya
The Āryabhaṭīya of Āryabhaṭa: An Ancient Indian Work on Mathematics and Astronomy
Aryabhata/Books
His major work, Aryabhatiya, a compendium of mathematics and astronomy, was extensively referred to in the Indian mathematical literature and has survived to modern times.
What did Aryabhata say about the value of Pi?
In other words, what Aryabhata said was that circumference of a circle with a diameter of 20000 is (4+100) x8 +62000= 62832. And we know that the value of pi is the ratio of the circumference to the diameter, so in this case 62832/20000, which is incredibly 3.1416. This is the value of pi accurate to five figures.
How many verses of Aryabhata are in Aryabhatiya?
Studying the ‘Aryabhatiya’ shows beyond doubt that Aryabhata had indeed discovered and worked on concept of pi long before the Western world was even aware of its existence. The Aryabhatiya, written in Sanskrit consists of 108 verses divided into 4 padas or chapters.
What did Aryabhata discover about the circumference of a circle?
Aryabhatta also discovered the non-remainderlessness of the circumference of a circle when the diameter is measured in a unit which provides an exact integer (within the limits of device error) for the value of the diameter.
Who is known for the discovery of Pi?
Aryabhata and the Discovery of Pi. Ancient India’s most famous mathematician and astronomer Aryabhata is widely recognized for contributing the concept of zero to the world.