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bobthebanana
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given the major axis length, minor axis length, at the given angle THETA. what's the formula?
bobthebanana said:given the major axis length, minor axis length, at the given angle THETA. what's the formula?
D H said:Wikipedia is correct. Note well: nrqed is talking about the angle between line segments subtending from one of the foci of the ellipse. If you followed arildno's advice, you would have computed the angle between line segments subtending from the center of the ellipse.
bobthebanana said:so from center... is it:
(ab)/((b^2cos^2t+a^2sin^2t)^(3/2))
or
(ab)/((b^2cos^2t+a^2sin^2t)^(1/2))?
The radius of an ellipse at a specific angle can be calculated by using the formula:
r = a*b / √[(b*cosθ)^2 + (a*sinθ)^2]
Where a and b are the major and minor axes of the ellipse, and θ is the angle at which the radius is measured.
The major axis of an ellipse is the longest diameter of the ellipse, while the minor axis is the shortest diameter. The major axis is also the axis of symmetry of the ellipse.
No, the circumference of an ellipse cannot be used to calculate the radius at a specific angle. The circumference depends on the entire shape of the ellipse, not just one specific angle.
The eccentricity of an ellipse is a measure of how elongated or stretched out the ellipse is. The higher the eccentricity, the more elongated the ellipse and the more the radius will vary at different angles.
Yes, there are several online tools and calculators available that can help you calculate the radius of an ellipse at a specific angle. Some popular ones include WolframAlpha, Desmos, and GeoGebra.