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# Some Thoughts...

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Last Edited: February 23, 2010, 6:06 am

Nothing to do i just thought i wrote this...About trigonometry...Just a hypothesis...

Another alternative to the area of a circle...I am asking more than i am making a statement...

Area of a Circle = Lenght of the radius x the circumference of the circle = or should equal the area of the circle (2 dimensional circle not 3 dimensional)...Or instead of the circumference of the circle it will be the radius x 360 degrees or 60 minutes if the circumference is a watch...But i wonder if the area means the inside alone of if that is the circumference included...

Or you get a right triangle, a triangle with 90 degree angle with its 3 sides, hypothenuse and the other 2 sides...And let the vertical side of the right triangle be the positive y axis of a unit circle and let´s call that side: ¨a¨...(Would had like to draw a triangle here but i cant)...Let´s call the other side of the triangle that is the positive x axis of a unit circle both x and y are different...Look at the arc extended that unites the x with the y...Well if you look at the x and how it moves from positive to zero and to negative 1 and then back to 0 and then back to positive 1 while the arc recorrer it runs around the circle and gives a complete circumference...Hypothetically speaking in theory to get the area of a circle you will have to multiply the distance of ¨x¨ a couple of times oscilating going from positive 1 to negative 1 and back to positive 1, that´s just the ratio/force/magnitude/step/proportionality/relativeness that you got to multiply the lenght of the line that touches the center of the circle and 1 point on the circumference of the circle to get the area of a circle...And if this is true then to get the area of a circle i think you can have the cosine or sine times the distance of ¨x¨ or the x recorrido of the particular sine/cosine function...What i am saying in other words is that you could use the cosine or sine function multiply it times a variable or proportionality times the lenght of the line and get the area of a circle...Or cosine/sine x the X distance divided by the distance of y of the cosine/sine function or backwards...It might had been the tangent function but i dont think so...Except that the measurements in real life will not be the measurements of the unit circle of just 1 and -1 but another measurement/reading...

http://www.clarku.edu/~djoyce/trig/right.html

look at: D approaching A and C touching FG you can see the same thing so there is a function correspondance as A or D or FG which is touched by A approaches O or zero and as E approaches O and A...which you could use to get the Area of a circle...And as B approaches E...

That´s 1 way, the other way is:

i was looking at the equation: y= SQUARE ROOT of 81-x^2....Well i was thinking you could get the area of that part (is like an orange cut in half and the multiply it times: the lenght of y times negative that lenght (mirro image) and you get the area of a circle or that circle...Same way if you took 1 quadrant of that equation instead of 2 quadrants and you multiply 1 quadrant´s area or circumference times the 3 quadrants left back with their respective signs or maybe instead of multiply you do this: ^ which is more understandable and you get the area/circumference of that circle...

This is only a hypothesis...

Is funny to my the hardest if math classes is trigonometry and working with fractions nothing but fractions...

i also realized that since in time on a watch one of the arms of a watch goes around a circle 3 times (seconds, minutes, hours) i realized that X amount of minutes is X amount of amplitudes of a cosine/sine function...

Also i think that the circumference of a circle i think you could written as a natural base function...Look at the equation: y= 4e^2x-5 and look at: y=e^x-55....just need to give it more following and let it take direction or curve with breaks which might come in the form of a minus sign, or minus sign of the exponent or a polynomial using the natural base, or a series of the exponent of the natual base....

Entry #696