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Zeta

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Zeta
Zeta

Zeta is a constant term setup for the comparison of Circumference of a circle to it's Radius. This constant is true for all the circles as, every circle is an similar figure, with constant scale factor called Zeta researched and re-engineered by Indian mathematical scholar Jyotiraditya Jadhav.

About the constant[edit]

The constant compares the circumference of the circle with it's radius and has value of 44/7 which equates to 6.28571428571.....(non-terminating and non-repeating). The name is derived by the Greek alpha bate Zeta, the "F" in English alpha bates.

Zeta / Jadhav Constant
Circle's Constant
Definition
Zeta is a constant term setup for the comparison of Circumference of a circle to it's Radius. This constant is true for all the circles as, every circle is an similar figure, with constant scale factor called Zeta made by Jyotiraditya Jadhav.
Details
ApplicationsAreas/lengths Related to Circles . etc.

= 44/7 = 6.28...... (Non-terminating and non-repeating)[edit]

Derivation[edit]

Zeta Formula.jpg

The already know constant for circles is Pi { } which compares the value of Circumference to it's diameter.

We can derive, Zeta with help of Pi as,

= C/D (Here, C means circumference and D means the diameter of circle)

= C/2 R (Diameter is two times of diameter)

2 = C/R

= 2 = C/R

Zeta versus Pi[edit]

Zeta

Pi is the oldest constant whereas Zeta is know but new researched constant.

About Pi:[edit]

The number π (/paɪ/) is a mathematical constant. It is defined as the ratio of a circle's circumference to its diameter, and it also has various equivalent definitions. It appears in many formulas in all areas of mathematics and physics. The earliest known use of the Greek letter π to represent the ratio of a circle's circumference to its diameter was by Welsh mathematician William Jones in 1706. It is approximately equal to 3.14159. It has been represented by the Greek letter "π" since the mid-18th century, and is spelled out as "pi". It is also referred to as Archimedes' constant.

Zeta as compared to Pi might reduce the calculations to a quite distance, because in-case of pi, the formulas were quite big and increased the chances of errors while dealing with lengths related to circle and Zeta would prevent this long processes.

Basic Formulas related to circle with Zeta[edit]

  • The area of Circle : r^2 / 2
  • The circumference of the circle : r
  • Radius in terms of Circumference : C/
  • Diameter in terms of Circumference : 2C/

Other Discoveries by Jyotiraditya Jadhav[edit]