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Edge length of pentagon of Pentagram given area Solution

STEP 0: Pre-Calculation Summary
Formula Used
length_of_edge = (Area*2)/(sqrt(5*(5-(2*(sqrt(5))))))
Ledge = (A*2)/(sqrt(5*(5-(2*(sqrt(5))))))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Area - The area is the amount of two-dimensional space taken up by an object. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Area: 50 Square Meter --> 50 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ledge = (A*2)/(sqrt(5*(5-(2*(sqrt(5)))))) --> (50*2)/(sqrt(5*(5-(2*(sqrt(5))))))
Evaluating ... ...
Ledge = 61.5536707435051
STEP 3: Convert Result to Output's Unit
61.5536707435051 Meter --> No Conversion Required
FINAL ANSWER
61.5536707435051 Meter <-- Length of edge
(Calculation completed in 00.000 seconds)

10+ Pentagram Calculators

Area of Pentagram
area = (sqrt(5*(5-(2*sqrt(5)))))*((Length of edge^2)/2) Go
Edge length of pentagon of Pentagram
length_of_edge = Long chord slice+Short chord slice Go
Chord length of Pentagram given edge length of pentagon and long chord slice
length_of_chord = Length of edge+Long chord slice Go
Long chord slice of Pentagram given short chord slice
long_chord_slice = Short chord slice*1.6180 Go
Short chord slice of Pentagram
short_chord_slice = Long chord slice/1.6180 Go
Edge length of pentagon of Pentagram given long chord slice
length_of_edge = Long chord slice*1.6180 Go
Long chord slice of Pentagram
long_chord_slice = Length of edge/1.6180 Go
Edge length of pentagon of Pentagram given chord length
length_of_edge = Length of chord/1.6180 Go
Chord length of Pentagram
length_of_chord = Length of edge*1.6180 Go
Perimeter of Pentagram
perimeter_polygon = 10*Long chord slice Go

Edge length of pentagon of Pentagram given area Formula

length_of_edge = (Area*2)/(sqrt(5*(5-(2*(sqrt(5))))))
Ledge = (A*2)/(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 Edge length of pentagon of Pentagram given area?

Edge length of pentagon of Pentagram given area calculator uses length_of_edge = (Area*2)/(sqrt(5*(5-(2*(sqrt(5)))))) to calculate the Length of edge, The Edge length of pentagon of Pentagram given area formula is defined as length of straight line joining two adjacent vertices of pentagon of pentagram. Length of edge is denoted by Ledge symbol.

How to calculate Edge length of pentagon of Pentagram given area using this online calculator? To use this online calculator for Edge length of pentagon of Pentagram given area, enter Area (A) and hit the calculate button. Here is how the Edge length of pentagon of Pentagram given area calculation can be explained with given input values -> 61.55367 = (50*2)/(sqrt(5*(5-(2*(sqrt(5)))))).

FAQ

What is Edge length of pentagon of Pentagram given area?
The Edge length of pentagon of Pentagram given area formula is defined as length of straight line joining two adjacent vertices of pentagon of pentagram and is represented as Ledge = (A*2)/(sqrt(5*(5-(2*(sqrt(5)))))) or length_of_edge = (Area*2)/(sqrt(5*(5-(2*(sqrt(5)))))). The area is the amount of two-dimensional space taken up by an object.
How to calculate Edge length of pentagon of Pentagram given area?
The Edge length of pentagon of Pentagram given area formula is defined as length of straight line joining two adjacent vertices of pentagon of pentagram is calculated using length_of_edge = (Area*2)/(sqrt(5*(5-(2*(sqrt(5)))))). To calculate Edge length of pentagon of Pentagram given area, you need Area (A). With our tool, you need to enter the respective value for Area 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 Length of edge?
In this formula, Length of edge uses Area. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • length_of_chord = Length of edge*1.6180
  • long_chord_slice = Length of edge/1.6180
  • short_chord_slice = Long chord slice/1.6180
  • length_of_edge = Long chord slice+Short chord slice
  • length_of_chord = Length of edge+Long chord slice
  • perimeter_polygon = 10*Long chord slice
  • area = (sqrt(5*(5-(2*sqrt(5)))))*((Length of edge^2)/2)
  • length_of_edge = Length of chord/1.6180
  • length_of_edge = Long chord slice*1.6180
  • long_chord_slice = Short chord slice*1.6180
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