Latus Rectum of Ellipse given Linear Eccentricity and Semi Minor Axis Solution

STEP 0: Pre-Calculation Summary
Formula Used
Latus Rectum of Ellipse = 2*Semi Minor Axis of Ellipse^2/sqrt(Linear Eccentricity of Ellipse^2+Semi Minor Axis of Ellipse^2)
2l = 2*b^2/sqrt(c^2+b^2)
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Latus Rectum of Ellipse - (Measured in Meter) - Latus Rectum of Ellipse is the line segment passing through any of the foci and perpendicular to the major axis whose ends are on the Ellipse.
Semi Minor Axis of Ellipse - (Measured in Meter) - Semi Minor Axis of Ellipse is half of the length of the longest chord which is perpendicular to the line joining the foci of the Ellipse.
Linear Eccentricity of Ellipse - (Measured in Meter) - Linear Eccentricity of Ellipse is the distance from center to any of the foci of the Ellipse.
STEP 1: Convert Input(s) to Base Unit
Semi Minor Axis of Ellipse: 6 Meter --> 6 Meter No Conversion Required
Linear Eccentricity of Ellipse: 8 Meter --> 8 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
2l = 2*b^2/sqrt(c^2+b^2) --> 2*6^2/sqrt(8^2+6^2)
Evaluating ... ...
2l = 7.2
STEP 3: Convert Result to Output's Unit
7.2 Meter --> No Conversion Required
FINAL ANSWER
7.2 Meter <-- Latus Rectum of Ellipse
(Calculation completed in 00.004 seconds)

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Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
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10+ Latus Rectum of Ellipse Calculators

Latus Rectum of Ellipse given Linear Eccentricity and Semi Minor Axis
​ Go Latus Rectum of Ellipse = 2*Semi Minor Axis of Ellipse^2/sqrt(Linear Eccentricity of Ellipse^2+Semi Minor Axis of Ellipse^2)
Latus Rectum of Ellipse given Linear Eccentricity and Semi Major Axis
​ Go Latus Rectum of Ellipse = 2*(Semi Major Axis of Ellipse^2-Linear Eccentricity of Ellipse^2)/(Semi Major Axis of Ellipse)
Latus Rectum of Ellipse given Eccentricity and Semi Minor Axis
​ Go Latus Rectum of Ellipse = 2*Semi Minor Axis of Ellipse*sqrt(1-Eccentricity of Ellipse^2)
Semi Latus Rectum of Ellipse
​ Go Semi Latus Rectum of Ellipse = (Semi Minor Axis of Ellipse^2)/Semi Major Axis of Ellipse
Latus Rectum of Ellipse
​ Go Latus Rectum of Ellipse = 2*(Semi Minor Axis of Ellipse^2)/(Semi Major Axis of Ellipse)
Latus Rectum of Ellipse given Eccentricity and Semi Major Axis
​ Go Latus Rectum of Ellipse = 2*Semi Major Axis of Ellipse*(1-Eccentricity of Ellipse^2)
Semi Latus Rectum of Ellipse given Major and Minor Axes
​ Go Semi Latus Rectum of Ellipse = (Minor Axis of Ellipse)^2/(2*Major Axis of Ellipse)
Latus Rectum of Ellipse given Major and Minor Axes
​ Go Latus Rectum of Ellipse = (Minor Axis of Ellipse)^2/Major Axis of Ellipse
Latus Rectum of Ellipse given Semi Latus Rectum
​ Go Latus Rectum of Ellipse = 2*Semi Latus Rectum of Ellipse
Semi Latus Rectum of Ellipse given Latus Rectum
​ Go Semi Latus Rectum of Ellipse = Latus Rectum of Ellipse/2

5 Latus Rectum of Ellipse Calculators

Latus Rectum of Ellipse given Linear Eccentricity and Semi Minor Axis
​ Go Latus Rectum of Ellipse = 2*Semi Minor Axis of Ellipse^2/sqrt(Linear Eccentricity of Ellipse^2+Semi Minor Axis of Ellipse^2)
Latus Rectum of Ellipse given Eccentricity and Semi Minor Axis
​ Go Latus Rectum of Ellipse = 2*Semi Minor Axis of Ellipse*sqrt(1-Eccentricity of Ellipse^2)
Semi Latus Rectum of Ellipse
​ Go Semi Latus Rectum of Ellipse = (Semi Minor Axis of Ellipse^2)/Semi Major Axis of Ellipse
Latus Rectum of Ellipse
​ Go Latus Rectum of Ellipse = 2*(Semi Minor Axis of Ellipse^2)/(Semi Major Axis of Ellipse)
Latus Rectum of Ellipse given Major and Minor Axes
​ Go Latus Rectum of Ellipse = (Minor Axis of Ellipse)^2/Major Axis of Ellipse

Latus Rectum of Ellipse given Linear Eccentricity and Semi Minor Axis Formula

Latus Rectum of Ellipse = 2*Semi Minor Axis of Ellipse^2/sqrt(Linear Eccentricity of Ellipse^2+Semi Minor Axis of Ellipse^2)
2l = 2*b^2/sqrt(c^2+b^2)

What is an Ellipse?

An Ellipse is basically a conic section. If we cut a right circular cone using a plane at an angle greater than the semi angle of cone. Geometrically an Ellipse is the collection of all points in a plane such that the sum of the distances to them from two fixed points is a constant. Those fixed points are the foci of the Ellipse. The largest chord of the Ellipse is the major axis and the chord which passing through the center and perpendicular to the major axis is the minor axis of the ellipse. Circle is a special case of Ellipse in which both foci coincide at the center and so both major and minor axes become equal in length which is called the diameter of the circle.

How to Calculate Latus Rectum of Ellipse given Linear Eccentricity and Semi Minor Axis?

Latus Rectum of Ellipse given Linear Eccentricity and Semi Minor Axis calculator uses Latus Rectum of Ellipse = 2*Semi Minor Axis of Ellipse^2/sqrt(Linear Eccentricity of Ellipse^2+Semi Minor Axis of Ellipse^2) to calculate the Latus Rectum of Ellipse, The Latus Rectum of Ellipse given Linear Eccentricity and Semi Minor Axis formula is defined as the line segment passing through any of the foci and perpendicular to the major axis whose ends are on the Ellipse and calculated using the linear eccentricity and semi-minor axis of the Ellipse. Latus Rectum of Ellipse is denoted by 2l symbol.

How to calculate Latus Rectum of Ellipse given Linear Eccentricity and Semi Minor Axis using this online calculator? To use this online calculator for Latus Rectum of Ellipse given Linear Eccentricity and Semi Minor Axis, enter Semi Minor Axis of Ellipse (b) & Linear Eccentricity of Ellipse (c) and hit the calculate button. Here is how the Latus Rectum of Ellipse given Linear Eccentricity and Semi Minor Axis calculation can be explained with given input values -> 7.2 = 2*6^2/sqrt(8^2+6^2).

FAQ

What is Latus Rectum of Ellipse given Linear Eccentricity and Semi Minor Axis?
The Latus Rectum of Ellipse given Linear Eccentricity and Semi Minor Axis formula is defined as the line segment passing through any of the foci and perpendicular to the major axis whose ends are on the Ellipse and calculated using the linear eccentricity and semi-minor axis of the Ellipse and is represented as 2l = 2*b^2/sqrt(c^2+b^2) or Latus Rectum of Ellipse = 2*Semi Minor Axis of Ellipse^2/sqrt(Linear Eccentricity of Ellipse^2+Semi Minor Axis of Ellipse^2). Semi Minor Axis of Ellipse is half of the length of the longest chord which is perpendicular to the line joining the foci of the Ellipse & Linear Eccentricity of Ellipse is the distance from center to any of the foci of the Ellipse.
How to calculate Latus Rectum of Ellipse given Linear Eccentricity and Semi Minor Axis?
The Latus Rectum of Ellipse given Linear Eccentricity and Semi Minor Axis formula is defined as the line segment passing through any of the foci and perpendicular to the major axis whose ends are on the Ellipse and calculated using the linear eccentricity and semi-minor axis of the Ellipse is calculated using Latus Rectum of Ellipse = 2*Semi Minor Axis of Ellipse^2/sqrt(Linear Eccentricity of Ellipse^2+Semi Minor Axis of Ellipse^2). To calculate Latus Rectum of Ellipse given Linear Eccentricity and Semi Minor Axis, you need Semi Minor Axis of Ellipse (b) & Linear Eccentricity of Ellipse (c). With our tool, you need to enter the respective value for Semi Minor Axis of Ellipse & Linear Eccentricity of Ellipse and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Latus Rectum of Ellipse?
In this formula, Latus Rectum of Ellipse uses Semi Minor Axis of Ellipse & Linear Eccentricity of Ellipse. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • Latus Rectum of Ellipse = 2*Semi Latus Rectum of Ellipse
  • Latus Rectum of Ellipse = (Minor Axis of Ellipse)^2/Major Axis of Ellipse
  • Latus Rectum of Ellipse = 2*(Semi Minor Axis of Ellipse^2)/(Semi Major Axis of Ellipse)
  • Latus Rectum of Ellipse = 2*Semi Minor Axis of Ellipse*sqrt(1-Eccentricity of Ellipse^2)
  • Latus Rectum of Ellipse = 2*Semi Major Axis of Ellipse*(1-Eccentricity of Ellipse^2)
  • Latus Rectum of Ellipse = 2*(Semi Major Axis of Ellipse^2-Linear Eccentricity of Ellipse^2)/(Semi Major Axis of Ellipse)
  • Latus Rectum of Ellipse = 2*Semi Minor Axis of Ellipse*sqrt(1-Eccentricity of Ellipse^2)
  • Latus Rectum of Ellipse = 2*(Semi Minor Axis of Ellipse^2)/(Semi Major Axis of Ellipse)
  • Latus Rectum of Ellipse = (Minor Axis of Ellipse)^2/Major Axis of Ellipse
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