Perimeter of Pentagram given Area Calculator

✖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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✖The Perimeter of Pentagram is the total length of all the boundary lines of the Pentagram.ⓘ Perimeter of Pentagram given Area [P]

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Perimeter of Pentagram given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Pentagram = 10/[phi]*sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5))))))
P = 10/[phi]*sqrt((2*A)/(sqrt(5*(5-(2*sqrt(5))))))
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

[phi] - Golden ratio Value Taken As 1.61803398874989484820458683436563811

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

Perimeter of Pentagram - (Measured in Meter) - The Perimeter of Pentagram is the total length of all the boundary lines of the Pentagram.
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.

STEP 1: Convert Input(s) to Base Unit

Area of Pentagram: 80 Square Meter --> 80 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 10/[phi]*sqrt((2*A)/(sqrt(5*(5-(2*sqrt(5)))))) --> 10/[phi]*sqrt((2*80)/(sqrt(5*(5-(2*sqrt(5))))))

Evaluating ... ...

P = 61.3337233067733

STEP 3: Convert Result to Output's Unit

61.3337233067733 Meter --> No Conversion Required

FINAL ANSWER

61.3337233067733 ≈ 61.33372 Meter <-- Perimeter of Pentagram

(Calculation completed in 00.004 seconds)

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Created by Nikhil

Mumbai University (DJSCE), Mumbai

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Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< Perimeter of Pentagram Calculators

Perimeter of Pentagram given Pentagonal Edge Length and Short Chord Slice

LaTeX Go Perimeter of Pentagram = 10*(Pentagonal Edge Length of Pentagram-Short Chord Slice of Pentagram)

Perimeter of Pentagram given Pentagonal Edge Length and Chord Length

LaTeX Go Perimeter of Pentagram = 10*(Chord Length of Pentagram-Pentagonal Edge Length of Pentagram)

Perimeter of Pentagram given Pentagonal Edge Length

LaTeX Go Perimeter of Pentagram = (10*Pentagonal Edge Length of Pentagram)/[phi]

Perimeter of Pentagram

LaTeX Go Perimeter of Pentagram = 10*Long Chord Slice of Pentagram

< Perimeter of Pentagram Calculators

Perimeter of Pentagram given Area

LaTeX Go Perimeter of Pentagram = 10/[phi]*sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5))))))

Perimeter of Pentagram given Pentagonal Edge Length

LaTeX Go Perimeter of Pentagram = (10*Pentagonal Edge Length of Pentagram)/[phi]

Perimeter of Pentagram

LaTeX Go Perimeter of Pentagram = 10*Long Chord Slice of Pentagram

Perimeter of Pentagram given Area Formula

LaTeX Go

Perimeter of Pentagram = 10/[phi]*sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5))))))
P = 10/[phi]*sqrt((2*A)/(sqrt(5*(5-(2*sqrt(5))))))

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 Perimeter of Pentagram given Area?

Perimeter of Pentagram given Area calculator uses Perimeter of Pentagram = 10/[phi]*sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5)))))) to calculate the Perimeter of Pentagram, The Perimeter of Pentagram given Area formula is defined as the total length of all the boundary lines of the Pentagram and calculated using the area of the Pentagram. Perimeter of Pentagram is denoted by P symbol.

How to calculate Perimeter of Pentagram given Area using this online calculator? To use this online calculator for Perimeter of Pentagram given Area, enter Area of Pentagram (A) and hit the calculate button. Here is how the Perimeter of Pentagram given Area calculation can be explained with given input values -> 61.33372 = 10/[phi]*sqrt((2*80)/(sqrt(5*(5-(2*sqrt(5)))))).

FAQ

What is Perimeter of Pentagram given Area?

The Perimeter of Pentagram given Area formula is defined as the total length of all the boundary lines of the Pentagram and calculated using the area of the Pentagram and is represented as P = 10/[phi]*sqrt((2*A)/(sqrt(5*(5-(2*sqrt(5)))))) or Perimeter of Pentagram = 10/[phi]*sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5)))))). The Area of Pentagram is the total quantity of plane enclosed by the boundary of the entire Pentagram shape.

How to calculate Perimeter of Pentagram given Area?

The Perimeter of Pentagram given Area formula is defined as the total length of all the boundary lines of the Pentagram and calculated using the area of the Pentagram is calculated using Perimeter of Pentagram = 10/[phi]*sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5)))))). To calculate Perimeter of Pentagram given Area, you need Area of Pentagram (A). With our tool, you need to enter the respective value for Area 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 Perimeter of Pentagram?

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

Perimeter of Pentagram = 10*Long Chord Slice of Pentagram
Perimeter of Pentagram = (10*Pentagonal Edge Length of Pentagram)/[phi]
Perimeter of Pentagram = 10*(Chord Length of Pentagram-Pentagonal Edge Length of Pentagram)

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