Area of Star of Lakshmi given Edge Length of Octagon Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Star of Lakshmi = 2*(2+sqrt(2))*Edge Length of Octagon in Star of Lakshmi^2
A = 2*(2+sqrt(2))*le(Octagon)^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 Star of Lakshmi - (Measured in Square Meter) - The Area of Star of Lakshmi is defined as the total region or space enclosed inside the boundary of Star of Lakshmi.
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.
STEP 1: Convert Input(s) to Base Unit
Edge Length of Octagon in Star of Lakshmi: 4 Meter --> 4 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = 2*(2+sqrt(2))*le(Octagon)^2 --> 2*(2+sqrt(2))*4^2
Evaluating ... ...
A = 109.254833995939
STEP 3: Convert Result to Output's Unit
109.254833995939 Square Meter --> No Conversion Required
FINAL ANSWER
109.254833995939 109.2548 Square Meter <-- Area of Star of Lakshmi
(Calculation completed in 00.020 seconds)

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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 Star of Lakshmi Calculators

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

Area of Star of Lakshmi given Edge Length of Octagon Formula

​LaTeX ​Go
Area of Star of Lakshmi = 2*(2+sqrt(2))*Edge Length of Octagon in Star of Lakshmi^2
A = 2*(2+sqrt(2))*le(Octagon)^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 Star of Lakshmi given Edge Length of Octagon?

Area of Star of Lakshmi given Edge Length of Octagon calculator uses Area of Star of Lakshmi = 2*(2+sqrt(2))*Edge Length of Octagon in Star of Lakshmi^2 to calculate the Area of Star of Lakshmi, The Area of Star of Lakshmi given Edge Length of Octagon formula is defined as the total area enclosed by the Star of Lakshmi, calculated using its edge length of the octagon. Area of Star of Lakshmi is denoted by A symbol.

How to calculate Area of Star of Lakshmi given Edge Length of Octagon using this online calculator? To use this online calculator for Area of Star of Lakshmi given Edge Length of Octagon, enter Edge Length of Octagon in Star of Lakshmi (le(Octagon)) and hit the calculate button. Here is how the Area of Star of Lakshmi given Edge Length of Octagon calculation can be explained with given input values -> 109.2548 = 2*(2+sqrt(2))*4^2.

FAQ

What is Area of Star of Lakshmi given Edge Length of Octagon?
The Area of Star of Lakshmi given Edge Length of Octagon formula is defined as the total area enclosed by the Star of Lakshmi, calculated using its edge length of the octagon and is represented as A = 2*(2+sqrt(2))*le(Octagon)^2 or Area of Star of Lakshmi = 2*(2+sqrt(2))*Edge Length of Octagon in Star of Lakshmi^2. 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.
How to calculate Area of Star of Lakshmi given Edge Length of Octagon?
The Area of Star of Lakshmi given Edge Length of Octagon formula is defined as the total area enclosed by the Star of Lakshmi, calculated using its edge length of the octagon is calculated using Area of Star of Lakshmi = 2*(2+sqrt(2))*Edge Length of Octagon in Star of Lakshmi^2. To calculate Area of Star of Lakshmi given Edge Length of Octagon, you need Edge Length of Octagon in Star of Lakshmi (le(Octagon)). With our tool, you need to enter the respective value for Edge Length of Octagon 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 Star of Lakshmi?
In this formula, Area of Star of Lakshmi uses Edge Length of Octagon in Star of Lakshmi. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Area of Star of Lakshmi = 2*(2-sqrt(2))*Edge Length of Square in Star of Lakshmi^2
  • Area of Star of Lakshmi = 4*(2+sqrt(2))*Edge Length of Star in Star of Lakshmi^2
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