Area of Pentagram Calculator

✖Pentagonal Edge Length of Pentagram is the edge length of regular pentagon from which the Pentagram is constructed using it's diagonals.ⓘ Pentagonal Edge Length of Pentagram [l_e(Pentagon)]

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✖The Area of Pentagram is the total quantity of plane enclosed by the boundary of the entire Pentagram shape.ⓘ Area of Pentagram [A]

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Area of Pentagram Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Pentagram = sqrt(5*(5-(2*sqrt(5))))*Pentagonal Edge Length of Pentagram^2/2
A = sqrt(5*(5-(2*sqrt(5))))*l_e(Pentagon)^2/2
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 Pentagram - (Measured in Square Meter) - The Area of Pentagram is the total quantity of plane enclosed by the boundary of the entire Pentagram shape.
Pentagonal Edge Length of Pentagram - (Measured in Meter) - Pentagonal Edge Length of Pentagram is the edge length of regular pentagon from which the Pentagram is constructed using it's diagonals.

STEP 1: Convert Input(s) to Base Unit

Pentagonal Edge Length of Pentagram: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = sqrt(5*(5-(2*sqrt(5))))*l_e(Pentagon)^2/2 --> sqrt(5*(5-(2*sqrt(5))))*10^2/2

Evaluating ... ...

A = 81.2299240582266

STEP 3: Convert Result to Output's Unit

81.2299240582266 Square Meter --> No Conversion Required

FINAL ANSWER

81.2299240582266 ≈ 81.22992 Square Meter <-- Area of Pentagram

(Calculation completed in 00.007 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

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St Joseph's College (SJC), Bengaluru

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< Area of Pentagram Calculators

Area of Pentagram given Long Chord Slice and Chord Length

LaTeX Go Area of Pentagram = (sqrt(5*(5-(2*sqrt(5)))))/2*(Chord Length of Pentagram-Long Chord Slice of Pentagram)^2

Area of Pentagram given Long Chord Slice

LaTeX Go Area of Pentagram = (sqrt(5*(5-(2*sqrt(5)))))/2*(Long Chord Slice of Pentagram*[phi])^2

Area of Pentagram given Chord Length

LaTeX Go Area of Pentagram = sqrt(5*(5-(2*sqrt(5))))/2*(Chord Length of Pentagram/[phi])^2

Area of Pentagram

LaTeX Go Area of Pentagram = sqrt(5*(5-(2*sqrt(5))))*Pentagonal Edge Length of Pentagram^2/2

< Area of Pentagram Calculators

Area of Pentagram given Long Chord Slice

LaTeX Go Area of Pentagram = (sqrt(5*(5-(2*sqrt(5)))))/2*(Long Chord Slice of Pentagram*[phi])^2

Area of Pentagram given Chord Length

LaTeX Go Area of Pentagram = sqrt(5*(5-(2*sqrt(5))))/2*(Chord Length of Pentagram/[phi])^2

Area of Pentagram

LaTeX Go Area of Pentagram = sqrt(5*(5-(2*sqrt(5))))*Pentagonal Edge Length of Pentagram^2/2

Area of Pentagram Formula

LaTeX Go

Area of Pentagram = sqrt(5*(5-(2*sqrt(5))))*Pentagonal Edge Length of Pentagram^2/2
A = sqrt(5*(5-(2*sqrt(5))))*l_e(Pentagon)^2/2

What is Pentagram?

A Pentagram is constructed from the diagonals of a pentagon. The Pentagram is the most simple regular star polygon. The chord slices of a regular Pentagram are in the golden ratio φ 1.6180.

How to Calculate Area of Pentagram?

Area of Pentagram calculator uses Area of Pentagram = sqrt(5*(5-(2*sqrt(5))))*Pentagonal Edge Length of Pentagram^2/2 to calculate the Area of Pentagram, The Area of Pentagram formula is defined as the total quantity of plane enclosed by the boundary of the entire Pentagram shape. Area of Pentagram is denoted by A symbol.

How to calculate Area of Pentagram using this online calculator? To use this online calculator for Area of Pentagram, enter Pentagonal Edge Length of Pentagram (l_e(Pentagon)) and hit the calculate button. Here is how the Area of Pentagram calculation can be explained with given input values -> 81.22992 = sqrt(5*(5-(2*sqrt(5))))*10^2/2.

FAQ

What is Area of Pentagram?

The Area of Pentagram formula is defined as the total quantity of plane enclosed by the boundary of the entire Pentagram shape and is represented as A = sqrt(5*(5-(2*sqrt(5))))*l_e(Pentagon)^2/2 or Area of Pentagram = sqrt(5*(5-(2*sqrt(5))))*Pentagonal Edge Length of Pentagram^2/2. Pentagonal Edge Length of Pentagram is the edge length of regular pentagon from which the Pentagram is constructed using it's diagonals.

How to calculate Area of Pentagram?

The Area of Pentagram formula is defined as the total quantity of plane enclosed by the boundary of the entire Pentagram shape is calculated using Area of Pentagram = sqrt(5*(5-(2*sqrt(5))))*Pentagonal Edge Length of Pentagram^2/2. To calculate Area of Pentagram, you need Pentagonal Edge Length of Pentagram (l_e(Pentagon)). With our tool, you need to enter the respective value for Pentagonal Edge Length of Pentagram 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 Pentagram?

In this formula, Area of Pentagram uses Pentagonal Edge Length of Pentagram. We can use 3 other way(s) to calculate the same, which is/are as follows -

Area of Pentagram = sqrt(5*(5-(2*sqrt(5))))/2*(Chord Length of Pentagram/[phi])^2
Area of Pentagram = (sqrt(5*(5-(2*sqrt(5)))))/2*(Long Chord Slice of Pentagram*[phi])^2
Area of Pentagram = (sqrt(5*(5-(2*sqrt(5)))))/2*(Chord Length of Pentagram-Long Chord Slice of Pentagram)^2

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