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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.

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.

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.

## Derivation

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

We can derive, Zeta with help of Pi as,

${\displaystyle \pi }$ = C/D (Here, C means circumference and D means the diameter of circle)

${\displaystyle \pi }$ = C/2 R (Diameter is two times of diameter)

2 ${\displaystyle \pi }$ = C/R

${\displaystyle \zeta }$ = 2${\displaystyle \pi }$ = C/R

## Zeta versus Pi

Zeta

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

• The area of Circle : ${\displaystyle \zeta }$ r^2 / 2
• The circumference of the circle : ${\displaystyle \zeta }$ r
• Radius in terms of Circumference : C/${\displaystyle \zeta }$
• Diameter in terms of Circumference : 2C/${\displaystyle \zeta }$