Authors :
Shivam jha
Volume/Issue :
Volume 7 - 2022, Issue 5 - May
Google Scholar :
https://bit.ly/3IIfn9N
DOI :
https://doi.org/10.5281/zenodo.6547892
Abstract :
Circle-line constant, one of the hidden
constant in circle till now. Basically it is the ratio of the
radius of a circle to a line whose end points are present in
the middle of another line ( the end points of this line are
present at the end of a circle’s 1/4th circumference [see fig
I]) and middle of the 1/4th circle’s circumference (see fig
I). Since, no one has worked on this constant and that’s
why this paper will introduce a new constant in
mathematics.
Material and methods: In this simple mathematical paper
work study, a right-angled triangle was drawn. From the
middle of the hypotenuse of that triangle to the middle of
the circle’s 1/4th circumference, a line was drawn named
(k). This distance (k) was directly proportional to the
radius (r) of the circle, if we convert 1/4th circumference
into a complete circle [see fig II].
Results: Whenever and whatever length of the circle was
drawn, its radius to distance (k) ratio was (3.3----). And
this result shows us that a constant can be used to remove
that proportionality.
Conclusion: To remove the proportionality between
radius of the circle and distance (k ) , constant , Φ can be
used.
Keywords :
Circle-line
Circle-line constant, one of the hidden
constant in circle till now. Basically it is the ratio of the
radius of a circle to a line whose end points are present in
the middle of another line ( the end points of this line are
present at the end of a circle’s 1/4th circumference [see fig
I]) and middle of the 1/4th circle’s circumference (see fig
I). Since, no one has worked on this constant and that’s
why this paper will introduce a new constant in
mathematics.
Material and methods: In this simple mathematical paper
work study, a right-angled triangle was drawn. From the
middle of the hypotenuse of that triangle to the middle of
the circle’s 1/4th circumference, a line was drawn named
(k). This distance (k) was directly proportional to the
radius (r) of the circle, if we convert 1/4th circumference
into a complete circle [see fig II].
Results: Whenever and whatever length of the circle was
drawn, its radius to distance (k) ratio was (3.3----). And
this result shows us that a constant can be used to remove
that proportionality.
Conclusion: To remove the proportionality between
radius of the circle and distance (k ) , constant , Φ can be
used.
