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Length of latusrectum of Parabola given length of focal segments Solution

STEP 0: Pre-Calculation Summary
Formula Used
latus_rectum = (4*Focal Segment 1*Focal segment 2)/(Focal Segment 1+Focal segment 2)
L = (4*FocalSeg1*FocalSeg2)/(FocalSeg1+FocalSeg2)
This formula uses 2 Variables
Variables Used
Focal Segment 1 - Focal Segment 1 is the distance between the one end of focal chord and focus of parabola. (Measured in Meter)
Focal segment 2 - Focal segment 2 is the distance between the second end of focal chord and focus of parabola. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Focal Segment 1: 7 Meter --> 7 Meter No Conversion Required
Focal segment 2: 6 Meter --> 6 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L = (4*FocalSeg1*FocalSeg2)/(FocalSeg1+FocalSeg2) --> (4*7*6)/(7+6)
Evaluating ... ...
L = 12.9230769230769
STEP 3: Convert Result to Output's Unit
12.9230769230769 --> No Conversion Required
FINAL ANSWER
12.9230769230769 <-- Latus Rectum
(Calculation completed in 00.016 seconds)

7 Distance of Parabola Calculators

Length of chord intercepted by Parabola
chord_length = (4/Slope of Line^2)*((Numerical Coefficient a)*(1+(Slope of Line^2))*(Numerical Coefficient a-(Slope of Line*Numerical Coefficient c)))^(0.5) Go
Length of latusrectum of Parabola given length of focal segments
latus_rectum = (4*Focal Segment 1*Focal segment 2)/(Focal Segment 1+Focal segment 2) Go
Diameter bisecting chords of Parabola
diameter = (2*X coordinate of focus of Parabola)/Slope of Line Go
Distance between directrix and latus rectum of Parabola opening to right
distance_1 = 2*Focal distance of Parabola Go
Distance between directrix and vertex of Parabola opening to right
distance_1 = Focal distance of Parabola Go
Length measured from vertex to focus of Parabola
length = 1/(4*Focal distance of Parabola) Go
Length of latus rectum of Parabola
latus_rectum = 4*Focus Go

Length of latusrectum of Parabola given length of focal segments Formula

latus_rectum = (4*Focal Segment 1*Focal segment 2)/(Focal Segment 1+Focal segment 2)
L = (4*FocalSeg1*FocalSeg2)/(FocalSeg1+FocalSeg2)

How to calculate the length of the latusrectum if length of the focal segments are given?

A parabola is the set of points in a plane that are the same distance from a given point and a given line in that plane.The length of the latusrectum is also equal to four times the focal length

How to Calculate Length of latusrectum of Parabola given length of focal segments?

Length of latusrectum of Parabola given length of focal segments calculator uses latus_rectum = (4*Focal Segment 1*Focal segment 2)/(Focal Segment 1+Focal segment 2) to calculate the Latus Rectum, Length of latusrectum of Parabola given length of focal segments is the chord (line segment) that passes through the focus, is perpendicular to the major axis and has both endpoints on the curve. Latus Rectum and is denoted by L symbol.

How to calculate Length of latusrectum of Parabola given length of focal segments using this online calculator? To use this online calculator for Length of latusrectum of Parabola given length of focal segments, enter Focal Segment 1 (FocalSeg1) & Focal segment 2 (FocalSeg2) and hit the calculate button. Here is how the Length of latusrectum of Parabola given length of focal segments calculation can be explained with given input values -> 12.92308 = (4*7*6)/(7+6).

FAQ

What is Length of latusrectum of Parabola given length of focal segments?
Length of latusrectum of Parabola given length of focal segments is the chord (line segment) that passes through the focus, is perpendicular to the major axis and has both endpoints on the curve and is represented as L = (4*FocalSeg1*FocalSeg2)/(FocalSeg1+FocalSeg2) or latus_rectum = (4*Focal Segment 1*Focal segment 2)/(Focal Segment 1+Focal segment 2). Focal Segment 1 is the distance between the one end of focal chord and focus of parabola & Focal segment 2 is the distance between the second end of focal chord and focus of parabola.
How to calculate Length of latusrectum of Parabola given length of focal segments?
Length of latusrectum of Parabola given length of focal segments is the chord (line segment) that passes through the focus, is perpendicular to the major axis and has both endpoints on the curve is calculated using latus_rectum = (4*Focal Segment 1*Focal segment 2)/(Focal Segment 1+Focal segment 2). To calculate Length of latusrectum of Parabola given length of focal segments, you need Focal Segment 1 (FocalSeg1) & Focal segment 2 (FocalSeg2). With our tool, you need to enter the respective value for Focal Segment 1 & Focal segment 2 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?
In this formula, Latus Rectum uses Focal Segment 1 & Focal segment 2. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • distance_1 = 2*Focal distance of Parabola
  • length = 1/(4*Focal distance of Parabola)
  • distance_1 = Focal distance of Parabola
  • latus_rectum = (4*Focal Segment 1*Focal segment 2)/(Focal Segment 1+Focal segment 2)
  • latus_rectum = 4*Focus
  • chord_length = (4/Slope of Line^2)*((Numerical Coefficient a)*(1+(Slope of Line^2))*(Numerical Coefficient a-(Slope of Line*Numerical Coefficient c)))^(0.5)
  • diameter = (2*X coordinate of focus of Parabola)/Slope of Line
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