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

✖The Edge Length of Star in Star of Lakshmi is the measurement of the lengths of any edge of a star in Star of Laksmi.ⓘ Edge Length of Star in Star of Lakshmi [l_e(Star)]

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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 Star [A_Octagon]

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Formula

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

Formula

`"A"_{"Octagon"} = 4*(sqrt(2)+1)*"l"_{"e(Star)"}^2`

Example

`"86.91169m²"=4*(sqrt(2)+1)*("3m")^2`

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

STEP 0: Pre-Calculation Summary

Formula Used

Area of Octagon in Star of Lakshmi = 4*(sqrt(2)+1)*Edge Length of Star in Star of Lakshmi^2
A_Octagon = 4*(sqrt(2)+1)*l_e(Star)^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 Star in Star of Lakshmi - (Measured in Meter) - The Edge Length of Star in Star of Lakshmi is the measurement of the lengths of any edge of a star in Star of Laksmi.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Star in Star of Lakshmi: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_Octagon = 4*(sqrt(2)+1)*l_e(Star)^2 --> 4*(sqrt(2)+1)*3^2

Evaluating ... ...

A_Octagon = 86.9116882454314

STEP 3: Convert Result to Output's Unit

86.9116882454314 Square Meter --> No Conversion Required

FINAL ANSWER

86.9116882454314 ≈ 86.91169 Square Meter <-- Area of Octagon in Star of Lakshmi

(Calculation completed in 00.004 seconds)

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< 3 Area of Octagon in Star of Lakshmi Calculators

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

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

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

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 Star Formula

Area of Octagon in Star of Lakshmi = 4*(sqrt(2)+1)*Edge Length of Star in Star of Lakshmi^2
A_Octagon = 4*(sqrt(2)+1)*l_e(Star)^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 given Edge Length of Star?

Area of Octagon in Star of Lakshmi given Edge Length of Star calculator uses Area of Octagon in Star of Lakshmi = 4*(sqrt(2)+1)*Edge Length of Star in Star of Lakshmi^2 to calculate the Area of Octagon in Star of Lakshmi, The Area of Octagon in Star of Lakshmi given Edge Length of Star formula is defined as the total area enclosed by the octagon of the Star of Lakshmi, calculated using its edge length of star. 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 Star using this online calculator? To use this online calculator for Area of Octagon in Star of Lakshmi given Edge Length of Star, enter Edge Length of Star in Star of Lakshmi (l_e(Star)) and hit the calculate button. Here is how the Area of Octagon in Star of Lakshmi given Edge Length of Star calculation can be explained with given input values -> 86.91169 = 4*(sqrt(2)+1)*3^2.

FAQ

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

The Area of Octagon in Star of Lakshmi given Edge Length of Star formula is defined as the total area enclosed by the octagon of the Star of Lakshmi, calculated using its edge length of star and is represented as A_Octagon = 4*(sqrt(2)+1)*l_e(Star)^2 or Area of Octagon in Star of Lakshmi = 4*(sqrt(2)+1)*Edge Length of Star in Star of Lakshmi^2. The Edge Length of Star in Star of Lakshmi is the measurement of the lengths of any edge of a star in Star of Laksmi.

How to calculate Area of Octagon in Star of Lakshmi given Edge Length of Star?

The Area of Octagon in Star of Lakshmi given Edge Length of Star formula is defined as the total area enclosed by the octagon of the Star of Lakshmi, calculated using its edge length of star is calculated using Area of Octagon in Star of Lakshmi = 4*(sqrt(2)+1)*Edge Length of Star in Star of Lakshmi^2. To calculate Area of Octagon in Star of Lakshmi given Edge Length of Star, you need Edge Length of Star in Star of Lakshmi (l_e(Star)). With our tool, you need to enter the respective value for Edge Length of Star 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 Star 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 = 2*Edge Length of Octagon in Star of Lakshmi^2/((sqrt(2)-1))

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