Area of 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 Star of Lakshmi is defined as the total region or space enclosed inside the boundary of Star of Lakshmi.ⓘ Area of Star of Lakshmi given Edge Length of Star [A]

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Formula

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Area of Star of Lakshmi given Edge Length of Star

Formula

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

Example

`"122.9117m²"=4*(2+sqrt(2))*("3m")^2`

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Area of Star of Lakshmi given Edge Length of Star Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Star of Lakshmi = 4*(2+sqrt(2))*Edge Length of Star in Star of Lakshmi^2
A = 4*(2+sqrt(2))*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 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 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 = 4*(2+sqrt(2))*l_e(Star)^2 --> 4*(2+sqrt(2))*3^2

Evaluating ... ...

A = 122.911688245431

STEP 3: Convert Result to Output's Unit

122.911688245431 Square Meter --> No Conversion Required

FINAL ANSWER

122.911688245431 ≈ 122.9117 Square Meter <-- Area of Star of Lakshmi

(Calculation completed in 00.020 seconds)

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< 3 Area of Star of Lakshmi Calculators

Area of Star of Lakshmi given Edge Length of Octagon

Go Area of Star of Lakshmi = 2*(2+sqrt(2))*Edge Length of Octagon in Star of Lakshmi^2

Area of Star of Lakshmi

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

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 Star Formula

Area of Star of Lakshmi = 4*(2+sqrt(2))*Edge Length of Star in Star of Lakshmi^2
A = 4*(2+sqrt(2))*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 Star of Lakshmi given Edge Length of Star?

Area of Star of Lakshmi given Edge Length of Star calculator uses Area of Star of Lakshmi = 4*(2+sqrt(2))*Edge Length of Star in Star of Lakshmi^2 to calculate the Area of Star of Lakshmi, The Area of Star of Lakshmi given Edge Length of Star formula is defined as the total area enclosed by the Star of Lakshmi, calculated using its edge length of star. Area of Star of Lakshmi is denoted by A symbol.

How to calculate Area of Star of Lakshmi given Edge Length of Star using this online calculator? To use this online calculator for Area of 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 Star of Lakshmi given Edge Length of Star calculation can be explained with given input values -> 122.9117 = 4*(2+sqrt(2))*3^2.

FAQ

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

The Area of Star of Lakshmi given Edge Length of Star formula is defined as the total area enclosed by the Star of Lakshmi, calculated using its edge length of star and is represented as A = 4*(2+sqrt(2))*l_e(Star)^2 or Area of Star of Lakshmi = 4*(2+sqrt(2))*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 Star of Lakshmi given Edge Length of Star?

The Area of Star of Lakshmi given Edge Length of Star formula is defined as the total area enclosed by the Star of Lakshmi, calculated using its edge length of star is calculated using Area of Star of Lakshmi = 4*(2+sqrt(2))*Edge Length of Star in Star of Lakshmi^2. To calculate Area of 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 Star of Lakshmi?

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

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