Edge Length of Octagon in Star of Lakshmi Solution

STEP 0: Pre-Calculation Summary
Formula Used
Edge Length of Octagon in Star of Lakshmi = (sqrt(2)-1)*Edge Length of Square in Star of Lakshmi
le(Octagon) = (sqrt(2)-1)*le(Square)
This formula uses 1 Functions, 2 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
Edge Length of Octagon in Star of Lakshmi - (Measured in Meter) - The Edge Length of Octagon in Star of Lakshmi is the measurement of the length of any edge of the octagon in Star of Lakshmi.
Edge Length of Square in Star of Lakshmi - (Measured in Meter) - The Edge Length of Square in Star of Lakshmi is the measurement of the length of any edge of the square in Star of Lakshmi.
STEP 1: Convert Input(s) to Base Unit
Edge Length of Square in Star of Lakshmi: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
le(Octagon) = (sqrt(2)-1)*le(Square) --> (sqrt(2)-1)*10
Evaluating ... ...
le(Octagon) = 4.14213562373095
STEP 3: Convert Result to Output's Unit
4.14213562373095 Meter --> No Conversion Required
FINAL ANSWER
4.14213562373095 4.142136 Meter <-- Edge Length of Octagon in Star of Lakshmi
(Calculation completed in 00.004 seconds)

Credits

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Created by Nayana Phulphagar
Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI
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Verified by Jaseem K
IIT Madras (IIT Madras), Chennai
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Edge Length of Star of Lakshmi Calculators

Edge Length of Square in Star of Lakshmi
​ LaTeX ​ Go Edge Length of Square in Star of Lakshmi = Edge Length of Octagon in Star of Lakshmi+(2*Edge Length of Star in Star of Lakshmi)
Edge Length of Octagon in Star of Lakshmi
​ LaTeX ​ Go Edge Length of Octagon in Star of Lakshmi = (sqrt(2)-1)*Edge Length of Square in Star of Lakshmi
Edge Length of Star in Star of Lakshmi
​ LaTeX ​ Go Edge Length of Star in Star of Lakshmi = (2-sqrt(2))*Edge Length of Square in Star of Lakshmi/2

Edge Length of Octagon in Star of Lakshmi Formula

​LaTeX ​Go
Edge Length of Octagon in Star of Lakshmi = (sqrt(2)-1)*Edge Length of Square in Star of Lakshmi
le(Octagon) = (sqrt(2)-1)*le(Square)

What is Star of Lakshmi?

The Star of Lakshmi is a special octagram, a regular compound polygon, made from two congruent squares with the same center at 45 degrees angle. The interior of a Star of Lakshmi with edges is a regular octagon with side lengths, and the exterior defines 8 congruent isosceles triangles of which unequal sides joined to the edges of the regular octagon.

How to Calculate Edge Length of Octagon in Star of Lakshmi?

Edge Length of Octagon in Star of Lakshmi calculator uses Edge Length of Octagon in Star of Lakshmi = (sqrt(2)-1)*Edge Length of Square in Star of Lakshmi to calculate the Edge Length of Octagon in Star of Lakshmi, The Edge Length of Octagon in Star of Lakshmi formula is defined as the length of any edge of the octagon in Star of Lakshmi. Edge Length of Octagon in Star of Lakshmi is denoted by le(Octagon) symbol.

How to calculate Edge Length of Octagon in Star of Lakshmi using this online calculator? To use this online calculator for Edge Length of Octagon in Star of Lakshmi, enter Edge Length of Square in Star of Lakshmi (le(Square)) and hit the calculate button. Here is how the Edge Length of Octagon in Star of Lakshmi calculation can be explained with given input values -> 4.142136 = (sqrt(2)-1)*10.

FAQ

What is Edge Length of Octagon in Star of Lakshmi?
The Edge Length of Octagon in Star of Lakshmi formula is defined as the length of any edge of the octagon in Star of Lakshmi and is represented as le(Octagon) = (sqrt(2)-1)*le(Square) or Edge Length of Octagon in Star of Lakshmi = (sqrt(2)-1)*Edge Length of Square in Star of Lakshmi. The Edge Length of Square in Star of Lakshmi is the measurement of the length of any edge of the square in Star of Lakshmi.
How to calculate Edge Length of Octagon in Star of Lakshmi?
The Edge Length of Octagon in Star of Lakshmi formula is defined as the length of any edge of the octagon in Star of Lakshmi is calculated using Edge Length of Octagon in Star of Lakshmi = (sqrt(2)-1)*Edge Length of Square in Star of Lakshmi. To calculate Edge Length of Octagon in Star of Lakshmi, you need Edge Length of Square in Star of Lakshmi (le(Square)). With our tool, you need to enter the respective value for Edge Length of Square in Star of Lakshmi and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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