Value of $\pi$ by Aryabhata Aryabhata gave accurate approximate value of $\pi$.
He wrote in Aryabhatiya following:
add 4 to 100, multiply by 8 and then add 62,000. The result is approximately the circumference of circle of diameter twenty thousand.
By this rule the relation of the circumference to diameter is given.
This gives $\pi= \frac{62832}{20000}=3.1416$ which is approximately 3.14159265...(correct value of $\pi$)

From where did Aryabhata got all the above values(4, 100, 8, 62000)? 

Kim Plofker says that it probably was by computing the circumference of an inscribed polygon with 384 sides. She gives Sarasvati Amma as a source; I have also seen a reference to Florian Cajori with the same claim.
