fzero said:Recheck how you computed the expression for r. The expression with the square root looks ok, but I find that it evaluates to 4.6, not 8.5.
The angle between r and the x axis is the angle formed by the line connecting the origin (0,0) to a point on the x axis and the line connecting the origin to a point with coordinates (r,0). This angle is measured in a counterclockwise direction from the positive x axis.
To find the angle between r and the x axis, you can use the inverse tangent function (arctan) of the y coordinate divided by the x coordinate. This will give you the angle in radians. If you want the angle in degrees, you can convert it by multiplying by 180/π.
Yes, the angle between r and the x axis can be negative. This occurs when the point (r,0) is located in the negative x axis direction, resulting in an angle that is measured clockwise from the positive x axis.
The angle between r and the x axis can range from 0 to 180 degrees or 0 to π radians. This is because the angle is always measured in a counterclockwise direction, so it cannot exceed a full rotation around the origin.
Yes, the formula for finding the angle between r and the x axis is θ = arctan(y/x) in radians or θ = arctan(y/x) * 180/π in degrees, where y is the y coordinate of the point and x is the x coordinate of the point.