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What is the value of moment of inertia of ellipse about x-Axis?
Moment of inertia about x-axis for an ellipse is = pi*b^3*a /4. Where b is the distance from the center of the ellipse to the outside tip of the minor axis. a is the distance from the ceneter of the ellipse to the outside tip of the major axis. Moment of inertia about x-axis for an ellipse is = pi*b^3*a /4. Where b is the distance from the center of the ellipse to the outside tip of the minor axis. a is the distance from the ceneter of the ellipse to the outside tip of the major axis.
What is equal to the length of the major axis of an ellipse?
The length of the major axis of an ellipse is equal to twice the length of the semi-major axis. If the semi-major axis is denoted as "a," then the major axis length is 2a. This axis is the longest diameter of the ellipse, stretching from one end of the ellipse to the other through the center.
What are the axis of ellipse called?
The axes of an ellipse are called the major axis and the minor axis. The major axis is the longest diameter of the ellipse, passing through its center and focal points, while the minor axis is the shortest diameter, perpendicular to the major axis. Together, these axes define the shape and orientation of the ellipse.
Does the foci of an ellipse lie on the major axis of the ellipse?
yes
Is it true that the foci of an ellipse lie on the major axis of the ellipse?
Yes.
This ellipse is centered at the point-3 -5 The length of its horizontal axis is 10 and the length of its vertical axis is 14 What is the ellipse's equation?
A
What is the area of an ellipse with the major axis 20 m and the minor axis 10 m?
The area of an ellipse with a major axis 20 m and a minor axis 10 m is: 157.1 m2
What is the equation for the ellipse if the ellipse is centered at the origin and the length of its horizontal axis is 4 and lengeth of the vertical axis is 8?
Ellipse formula, centered at the origin, where the vertical axis is the major axis: x2/b2 + y2/a2 = 1, a > b Since the major axis is 8, then a = 4. Since the minor axis is 4, then b = 2. Thus, the equation of the ellipse is: x2/4 + y2/16 = 1.
What are the two axes of an ellipse called?
The major axis and the minor axis.
In the standard equation for an ellipse a is half the length of the axis?
An ellipse is the set of each and every point in a place such that the sum of the distance from the foci is constant, Major Axis of the ellipse is the part from side to side the center of ellipse to the larger axis, or the length of that sector. The major diameter is the largest diameter of an ellipse. Below equation is the standard ellipse equation: X2/a + Y2/b = 1, (a > b > 0)
What is an ellipse's maximum length called?
The maximum length of an ellipse is called its major axis. This is the longest diameter of the ellipse, running through its center and the two farthest points on the perimeter. The shorter diameter, perpendicular to the major axis, is known as the minor axis. Together, these axes define the shape and orientation of the ellipse.
This ellipse has a horizontal axis of length 10 and a vertical axis of length 4 What is its equation?
By taking a coordinate system with origin at the center of the ellipse, and x-axis along the major axis, and y-axis along the minor axis, then the ellipse intercepts the x-axis at -5 and 5, and the y-axis at -2 and 2. So that the equation of the ellipse x2/a2 + y2/b2 = 1 becomes x2/52 + y2/22 = 1 or x2/25 + y2/4 = 1.
