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Area of Pentagram Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = (sqrt(5*(5-(2*sqrt(5)))))*((Length of edge^2)/2)
A = (sqrt(5*(5-(2*sqrt(5)))))*((Ledge^2)/2)
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Length of edge - Length of edge is the length measured between two vertices of a shape or an object. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Length of edge: 8 Meter --> 8 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (sqrt(5*(5-(2*sqrt(5)))))*((Ledge^2)/2) --> (sqrt(5*(5-(2*sqrt(5)))))*((8^2)/2)
Evaluating ... ...
A = 51.987151397265
STEP 3: Convert Result to Output's Unit
51.987151397265 Square Meter --> No Conversion Required
FINAL ANSWER
51.987151397265 Square Meter <-- Area
(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

Area of Pentagram Formula

area = (sqrt(5*(5-(2*sqrt(5)))))*((Length of edge^2)/2)
A = (sqrt(5*(5-(2*sqrt(5)))))*((Ledge^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 = (sqrt(5*(5-(2*sqrt(5)))))*((Length of edge^2)/2) to calculate the Area, The Area of Pentagram formula is defined as amount of two dimensional space covered by Pentagram. Area 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 Length of edge (Ledge) and hit the calculate button. Here is how the Area of Pentagram calculation can be explained with given input values -> 51.98715 = (sqrt(5*(5-(2*sqrt(5)))))*((8^2)/2).

FAQ

What is Area of Pentagram?
The Area of Pentagram formula is defined as amount of two dimensional space covered by Pentagram and is represented as A = (sqrt(5*(5-(2*sqrt(5)))))*((Ledge^2)/2) or area = (sqrt(5*(5-(2*sqrt(5)))))*((Length of edge^2)/2). Length of edge is the length measured between two vertices of a shape or an object.
How to calculate Area of Pentagram?
The Area of Pentagram formula is defined as amount of two dimensional space covered by Pentagram is calculated using area = (sqrt(5*(5-(2*sqrt(5)))))*((Length of edge^2)/2). To calculate Area of Pentagram, you need Length of edge (Ledge). With our tool, you need to enter the respective value for Length of edge 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?
In this formula, Area uses Length of edge. 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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