He calculated the perimeters of regular polygons inscribed within a unit circle and circumscribing the circle (outside the circle). The first is always less than the circumference of the circle ( = 2*pi) and the second is always more. As you increase the number of sides of the polygons, the polygons get closer and closer to the circle and their perimeters get nearer to the circumference.
The first person to calculate pi was Archimedes, around 250 B.C. Using the formula:A = pi r^2
The ratio of the circumference of a circle to its radius.
Archimedes made pi more precise
Archimedes made pi by using the method of exhaustion to calculate the area under the arc of a parabola with the summation of an infinite series. From the method of exhaustion, he gave a remarkably accurate approximation of pi (3.141593). The more sides a polygon has, the closer the approximation approaches pi. Pn is the perimeter of a regular polygon with n sides circumscribed around a circle with diameter d. The formula Archimedes used to calculate pi is: pi equals limits over number of sides to infinity multiplied by the perimeter of a regular polygon divided by the diameter.
Archimedes
The first person to calculate pi was Archimedes, around 250 B.C. Using the formula:A = pi r^2
The ratio of the circumference of a circle to its radius.
The Greek Philosopher Archimedes
Archimedes made pi more precise
While it is suggested that the concept of pi has been in use since the time of the Egyptians, the firs person to extensively calculate pi (and whose name is most synonymous with it) is Archimedes
Archimedes made pi by using the method of exhaustion to calculate the area under the arc of a parabola with the summation of an infinite series. From the method of exhaustion, he gave a remarkably accurate approximation of pi (3.141593). The more sides a polygon has, the closer the approximation approaches pi. Pn is the perimeter of a regular polygon with n sides circumscribed around a circle with diameter d. The formula Archimedes used to calculate pi is: pi equals limits over number of sides to infinity multiplied by the perimeter of a regular polygon divided by the diameter.
While many theorize that the concept of pi has existed since the Ancient Egyptian Empire, the first 'modern' mathematician to calculate pi with any large degree of accuracy (and record his work) was Archimedes of Ancient Greece.
Archimedes
Pi
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Archimedes
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