360 Degrees corresponding to the size of the circle

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Java9999

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Jan 20, 2020
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Hi guys,

I've got a question regarding degree that corresponding to the size of the full circle.
Let say I got a circumference of the full circle is C = 2 * Pi * R
Then can we pinpoint degree on the circle from 0 degree to 360 degree on that circumference with Starting point A such as:

0 degree at Starting point A
90 degree at point B = C/4 = Pi * R/2
180 degree at point C = C/2 = Pi * R
.....
360 degree back at point A = C= 2 * Pi * R

so the formula for n degree at point N = C * n/360

Just wondering is this a logical way of identifying degree on a full circle with radius size R?
 
Java9999 said:
Hi guys,

I've got a question regarding degree that corresponding to the size of the full circle.
Let say I got a circumference of the full circle is C = 2 * Pi * R
Then can we pinpoint degree on the circle from 0 degree to 360 degree on that circumference with Starting point A such as:

0 degree at Starting point A
90 degree at point B = C/4 = Pi * R/2
180 degree at point C = C/2 = Pi * R
.....
360 degree back at point A = C= 2 * Pi * R

so the formula for n degree at point N = C * n/360

Just wondering is this a logical way of identifying degree on a full circle with radius size R?
Click to expand...
You derived the arc length formula.
 
In fact, if you a radius of r = 1, you have discovered radian measure of angles. In radian measure, a right angle is

[MATH]\dfrac{\pi}{2}.[/MATH]
Radian measure is not at all convenient in fields like surveying, but it is much more useful than degrees in working with trigonometric functions in calculus.
 
Java9999 said:
Could you let me know what is the arc length formula?
Click to expand...
It calculates the length of the arc that corresponds to n degrees. Is this what you meant by "pinpoint degree on the circle"?
 
lev888 said:
It calculates the length of the arc that corresponds to n degrees. Is this what you meant by "pinpoint degree on the circle"?
Click to expand...

exactly, because 2 circles with 2 different radius R1, R2 obviously will give different arc length corresponding to n degree
 
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