Area of Octagon in Star of Lakshmi Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Octagon in Star of Lakshmi = 2*(sqrt(2)-1)*Edge Length of Square in Star of Lakshmi^2
AOctagon = 2*(sqrt(2)-1)*le(Square)^2
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
Area of Octagon in Star of Lakshmi - (Measured in Square Meter) - The Area of Octagon in Star of Lakshmi is the region occupied inside the boundary of an 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
AOctagon = 2*(sqrt(2)-1)*le(Square)^2 --> 2*(sqrt(2)-1)*10^2
Evaluating ... ...
AOctagon = 82.842712474619
STEP 3: Convert Result to Output's Unit
82.842712474619 Square Meter --> No Conversion Required
FINAL ANSWER
82.842712474619 82.84271 Square Meter <-- Area 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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Area of Octagon in Star of Lakshmi Calculators

Area of Octagon in Star of Lakshmi given Edge Length of Octagon
​ LaTeX ​ Go Area of Octagon in Star of Lakshmi = 2*Edge Length of Octagon in Star of Lakshmi^2/((sqrt(2)-1))
Area of Octagon in Star of Lakshmi
​ LaTeX ​ Go Area of Octagon in Star of Lakshmi = 2*(sqrt(2)-1)*Edge Length of Square in Star of Lakshmi^2
Area of Octagon in Star of Lakshmi given Edge Length of Star
​ LaTeX ​ Go Area of Octagon in Star of Lakshmi = 4*(sqrt(2)+1)*Edge Length of Star in Star of Lakshmi^2

Area of Octagon in Star of Lakshmi Formula

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

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 Area of Octagon in Star of Lakshmi?

Area of Octagon in Star of Lakshmi calculator uses Area of Octagon in Star of Lakshmi = 2*(sqrt(2)-1)*Edge Length of Square in Star of Lakshmi^2 to calculate the Area of Octagon in Star of Lakshmi, The Area of Octagon in Star of Lakshmi formula is defined as the measure of the total area enclosed inside the octagon of the Star of Lakshmi. Area of Octagon in Star of Lakshmi is denoted by AOctagon symbol.

How to calculate Area of Octagon in Star of Lakshmi using this online calculator? To use this online calculator for Area 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 Area of Octagon in Star of Lakshmi calculation can be explained with given input values -> 82.84271 = 2*(sqrt(2)-1)*10^2.

FAQ

What is Area of Octagon in Star of Lakshmi?
The Area of Octagon in Star of Lakshmi formula is defined as the measure of the total area enclosed inside the octagon of the Star of Lakshmi and is represented as AOctagon = 2*(sqrt(2)-1)*le(Square)^2 or Area of Octagon in Star of Lakshmi = 2*(sqrt(2)-1)*Edge Length of Square in Star of Lakshmi^2. 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 Area of Octagon in Star of Lakshmi?
The Area of Octagon in Star of Lakshmi formula is defined as the measure of the total area enclosed inside the octagon of the Star of Lakshmi is calculated using Area of Octagon in Star of Lakshmi = 2*(sqrt(2)-1)*Edge Length of Square in Star of Lakshmi^2. To calculate Area 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.
How many ways are there to calculate Area of Octagon in Star of Lakshmi?
In this formula, Area of Octagon in Star of Lakshmi uses Edge Length of Square in Star of Lakshmi. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Area of Octagon in Star of Lakshmi = 2*Edge Length of Octagon in Star of Lakshmi^2/((sqrt(2)-1))
  • Area of Octagon in Star of Lakshmi = 4*(sqrt(2)+1)*Edge Length of Star in Star of Lakshmi^2
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