What does a negative r mean in polar coordinates?
The absolute value of r, |r|, is the distance between the point and the pole. 1. If r is positive (r > 0) then the point lies on the terminal side of θ 2. If r is negative (r < 0) then the point lies on the ray opposite of the terminal side of θ
How do you find the negative radius in polar coordinates?
It is also useful to allow negative radius: (−r, θ) means to move out along the line at angle θ, but in the opposite direction from the positive ray, along the ray θ ± π; thus: (−r, θ)=(r, θ ± π). y = r sin(θ).
What does r mean in polar coordinates?
The coordinate r is the length of the line segment from the point (x,y) to the origin and the coordinate θ is the angle between the line segment and the positive x-axis.
Can you have a negative R2?
Note that R2 is not always the square of anything, so it can have a negative value without violating any rules of math. R2 is negative only when the chosen model does not follow the trend of the data, so fits worse than a horizontal line.
Can an r value be greater than 1?
Thus, the nominator of r raw formula can never be greater than the denominator. In other words, the whole ratio can never exceed an absolute value of 1.
Can you have negative radius?
So not only is it possible for a circle to have a negative radius, all circles already do have a negative radius! This is about the radius squared — negative square would imply something like imaginary radius, not negative radius.
Is there a negative radius?
So not only is it possible for a circle to have a negative radius, all circles already do have a negative radius!
How do you find r in polar coordinates?
To convert from Cartesian Coordinates (x,y) to Polar Coordinates (r,θ):
- r = √ ( x2 + y2 )
- θ = tan-1 ( y / x )
What is the rectangular form of r − 2 sin θ )?
r=−2sinθ=−yr . and so, r2=x2+y2=−2y .