Semi Minor Axis of Ellipse given Latus Rectum and Semi Major Axis Solution

STEP 0: Pre-Calculation Summary
Formula Used
Semi Minor Axis of Ellipse = sqrt((Latus Rectum of Ellipse*Semi Major Axis of Ellipse)/2)
b = sqrt((2l*a)/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
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.
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 Major Axis of Ellipse - (Measured in Meter) - Semi Major Axis of Ellipse is half of the chord passing through both the foci of the Ellipse.
STEP 1: Convert Input(s) to Base Unit
Latus Rectum of Ellipse: 7 Meter --> 7 Meter No Conversion Required
Semi Major Axis of Ellipse: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
b = sqrt((2l*a)/2) --> sqrt((7*10)/2)
Evaluating ... ...
b = 5.91607978309962
STEP 3: Convert Result to Output's Unit
5.91607978309962 Meter --> No Conversion Required
FINAL ANSWER
5.91607978309962 5.91608 Meter <-- Semi Minor Axis of Ellipse
(Calculation completed in 00.004 seconds)

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Created by Dhruv Walia
Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
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11 Minor Axis of Ellipse Calculators

Semi Minor Axis of Ellipse given Area and Eccentricity
​ Go Semi Minor Axis of Ellipse = sqrt((Area of Ellipse*sqrt(1-Eccentricity of Ellipse^2))/pi)
Semi Minor Axis of Ellipse given Eccentricity and Linear Eccentricity
​ Go Semi Minor Axis of Ellipse = (Linear Eccentricity of Ellipse*sqrt(1-Eccentricity of Ellipse^2))/Eccentricity of Ellipse
Semi Minor Axis of Ellipse given Area, Linear Eccentricity and Eccentricity
​ Go Semi Minor Axis of Ellipse = Eccentricity of Ellipse*(Area of Ellipse/(pi*Linear Eccentricity of Ellipse))
Semi Minor Axis of Ellipse given Linear Eccentricity and Semi Major Axis
​ Go Semi Minor Axis of Ellipse = sqrt(Semi Major Axis of Ellipse^2-Linear Eccentricity of Ellipse^2)
Semi Minor Axis of Ellipse given Latus Rectum and Eccentricity
​ Go Semi Minor Axis of Ellipse = Latus Rectum of Ellipse/(2*sqrt(1-Eccentricity of Ellipse^2))
Semi Minor Axis of Ellipse given Latus Rectum and Semi Major Axis
​ Go Semi Minor Axis of Ellipse = sqrt((Latus Rectum of Ellipse*Semi Major Axis of Ellipse)/2)
Semi Minor Axis of Ellipse given Eccentricity and Semi Major Axis
​ Go Semi Minor Axis of Ellipse = Semi Major Axis of Ellipse*sqrt(1-Eccentricity of Ellipse^2)
Semi Minor Axis of Ellipse given Area and Semi Major Axis
​ Go Semi Minor Axis of Ellipse = Area of Ellipse/(pi*Semi Major Axis of Ellipse)
Minor Axis of Ellipse given Area and Major Axis
​ Go Minor Axis of Ellipse = (4*Area of Ellipse)/(pi*Major Axis of Ellipse)
Semi Minor Axis of Ellipse
​ Go Semi Minor Axis of Ellipse = Minor Axis of Ellipse/2
Minor Axis of Ellipse
​ Go Minor Axis of Ellipse = 2*Semi Minor Axis of Ellipse

Semi Minor Axis of Ellipse given Latus Rectum and Semi Major Axis Formula

Semi Minor Axis of Ellipse = sqrt((Latus Rectum of Ellipse*Semi Major Axis of Ellipse)/2)
b = sqrt((2l*a)/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 Semi Minor Axis of Ellipse given Latus Rectum and Semi Major Axis?

Semi Minor Axis of Ellipse given Latus Rectum and Semi Major Axis calculator uses Semi Minor Axis of Ellipse = sqrt((Latus Rectum of Ellipse*Semi Major Axis of Ellipse)/2) to calculate the Semi Minor Axis of Ellipse, The Semi Minor Axis of Ellipse given Latus Rectum and Semi Major Axis formula is defined as half of the length of the chord which passes through both foci of the Ellipse and is calculated using the latus rectum and semi-major axis of the Ellipse. Semi Minor Axis of Ellipse is denoted by b symbol.

How to calculate Semi Minor Axis of Ellipse given Latus Rectum and Semi Major Axis using this online calculator? To use this online calculator for Semi Minor Axis of Ellipse given Latus Rectum and Semi Major Axis, enter Latus Rectum of Ellipse (2l) & Semi Major Axis of Ellipse (a) and hit the calculate button. Here is how the Semi Minor Axis of Ellipse given Latus Rectum and Semi Major Axis calculation can be explained with given input values -> 5.91608 = sqrt((7*10)/2).

FAQ

What is Semi Minor Axis of Ellipse given Latus Rectum and Semi Major Axis?
The Semi Minor Axis of Ellipse given Latus Rectum and Semi Major Axis formula is defined as half of the length of the chord which passes through both foci of the Ellipse and is calculated using the latus rectum and semi-major axis of the Ellipse and is represented as b = sqrt((2l*a)/2) or Semi Minor Axis of Ellipse = sqrt((Latus Rectum of Ellipse*Semi Major Axis of Ellipse)/2). 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 Major Axis of Ellipse is half of the chord passing through both the foci of the Ellipse.
How to calculate Semi Minor Axis of Ellipse given Latus Rectum and Semi Major Axis?
The Semi Minor Axis of Ellipse given Latus Rectum and Semi Major Axis formula is defined as half of the length of the chord which passes through both foci of the Ellipse and is calculated using the latus rectum and semi-major axis of the Ellipse is calculated using Semi Minor Axis of Ellipse = sqrt((Latus Rectum of Ellipse*Semi Major Axis of Ellipse)/2). To calculate Semi Minor Axis of Ellipse given Latus Rectum and Semi Major Axis, you need Latus Rectum of Ellipse (2l) & Semi Major Axis of Ellipse (a). With our tool, you need to enter the respective value for Latus Rectum of Ellipse & Semi Major Axis 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 Semi Minor Axis of Ellipse?
In this formula, Semi Minor Axis of Ellipse uses Latus Rectum of Ellipse & Semi Major Axis of Ellipse. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • Semi Minor Axis of Ellipse = Minor Axis of Ellipse/2
  • Semi Minor Axis of Ellipse = Area of Ellipse/(pi*Semi Major Axis of Ellipse)
  • Semi Minor Axis of Ellipse = sqrt(Semi Major Axis of Ellipse^2-Linear Eccentricity of Ellipse^2)
  • Semi Minor Axis of Ellipse = Eccentricity of Ellipse*(Area of Ellipse/(pi*Linear Eccentricity of Ellipse))
  • Semi Minor Axis of Ellipse = sqrt((Area of Ellipse*sqrt(1-Eccentricity of Ellipse^2))/pi)
  • Semi Minor Axis of Ellipse = Latus Rectum of Ellipse/(2*sqrt(1-Eccentricity of Ellipse^2))
  • Semi Minor Axis of Ellipse = (Linear Eccentricity of Ellipse*sqrt(1-Eccentricity of Ellipse^2))/Eccentricity of Ellipse
  • Semi Minor Axis of Ellipse = Semi Major Axis of Ellipse*sqrt(1-Eccentricity of Ellipse^2)
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