Area of Octagon in Star of Lakshmi given Edge Length of Octagon Calculator

✖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 Octagon in Star of Lakshmi [l_e(Octagon)]

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✖The Area of Octagon in Star of Lakshmi is the region occupied inside the boundary of an octagon in Star of Lakshmi.ⓘ Area of Octagon in Star of Lakshmi given Edge Length of Octagon [A_Octagon]

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Area of Octagon in Star of Lakshmi given Edge Length of Octagon Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Octagon in Star of Lakshmi = 2*Edge Length of Octagon in Star of Lakshmi^2/((sqrt(2)-1))
A_Octagon = 2*l_e(Octagon)^2/((sqrt(2)-1))
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 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_Octagon = 2*l_e(Octagon)^2/((sqrt(2)-1)) --> 2*4^2/((sqrt(2)-1))

Evaluating ... ...

A_Octagon = 77.254833995939

STEP 3: Convert Result to Output's Unit

77.254833995939 Square Meter --> No Conversion Required

FINAL ANSWER

77.254833995939 ≈ 77.25483 Square Meter <-- Area of Octagon in Star of Lakshmi

(Calculation completed in 00.004 seconds)

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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 given Edge Length of Octagon Formula

LaTeX Go

Area of Octagon in Star of Lakshmi = 2*Edge Length of Octagon in Star of Lakshmi^2/((sqrt(2)-1))
A_Octagon = 2*l_e(Octagon)^2/((sqrt(2)-1))

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 given Edge Length of Octagon?

Area of Octagon in Star of Lakshmi given Edge Length of Octagon calculator uses Area of Octagon in Star of Lakshmi = 2*Edge Length of Octagon in Star of Lakshmi^2/((sqrt(2)-1)) to calculate the Area of Octagon in Star of Lakshmi, The Area of Octagon in Star of Lakshmi given Edge Length of Octagon formula is defined as the measure of the total area of the octagon in Star of Lakshmi, calculated using its edge length of octagon. Area of Octagon in Star of Lakshmi is denoted by A_Octagon symbol.

How to calculate Area of Octagon in Star of Lakshmi given Edge Length of Octagon using this online calculator? To use this online calculator for Area of Octagon in Star of Lakshmi given Edge Length of Octagon, enter Edge Length of Octagon in Star of Lakshmi (l_e(Octagon)) and hit the calculate button. Here is how the Area of Octagon in Star of Lakshmi given Edge Length of Octagon calculation can be explained with given input values -> 77.25483 = 2*4^2/((sqrt(2)-1)).

FAQ

What is Area of Octagon in Star of Lakshmi given Edge Length of Octagon?

The Area of Octagon in Star of Lakshmi given Edge Length of Octagon formula is defined as the measure of the total area of the octagon in Star of Lakshmi, calculated using its edge length of octagon and is represented as A_Octagon = 2*l_e(Octagon)^2/((sqrt(2)-1)) or Area of Octagon in Star of Lakshmi = 2*Edge Length of Octagon in Star of Lakshmi^2/((sqrt(2)-1)). 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 Octagon in Star of Lakshmi given Edge Length of Octagon?

The Area of Octagon in Star of Lakshmi given Edge Length of Octagon formula is defined as the measure of the total area of the octagon in Star of Lakshmi, calculated using its edge length of octagon is calculated using Area of Octagon in Star of Lakshmi = 2*Edge Length of Octagon in Star of Lakshmi^2/((sqrt(2)-1)). To calculate Area of Octagon in Star of Lakshmi given Edge Length of Octagon, you need Edge Length of Octagon in Star of Lakshmi (l_e(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 Octagon in Star of Lakshmi?

In this formula, Area of Octagon in 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 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 = 4*(sqrt(2)+1)*Edge Length of Star in Star of Lakshmi^2

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