No, the value of pi was not first calculated by Budhayana. It is debated who the first person was to calculate it. However, it is believed that Archimedes was the first to calculate it using polygons, while Ptolemy was the first to assigned it its current value directly.
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Archimedes made a variety of advances including volume and buoyancy measurements along with mathematics that define the size of a cylinder using a sphere. He also helped to make a lever more useful in farming.
The Greek Philosopher Archimedes
To study about pi and its value , we will get more knowledge and the value of pi is either 3.14 or 22/7 . By studying it we can solve the problems regarding this and we should tell this to others an therefore we will get more knowledge about pi and its value.
It was calculated by very, very intelligent mathematicians using ancient instruments.
None because the exact value of pi has never been finally figured out and that all we know is that when the circumference of a circle is divided by its diameter that it is the value of pi which has been worked out to billions and billions of decimal places and still its exact value remains undiscovered.