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Area of Pentagram given chord length Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = ((sqrt(5*(5-(2*sqrt(5)))))/2)*((Length of chord/1.6180)^2)
A = ((sqrt(5*(5-(2*sqrt(5)))))/2)*((LChord/1.6180)^2)
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Length of chord - Length of chord is the length of line segment joining two points on a curve of shape or object. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Length of chord: 13 Meter --> 13 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = ((sqrt(5*(5-(2*sqrt(5)))))/2)*((LChord/1.6180)^2) --> ((sqrt(5*(5-(2*sqrt(5)))))/2)*((13/1.6180)^2)
Evaluating ... ...
A = 52.4379514678053
STEP 3: Convert Result to Output's Unit
52.4379514678053 Square Meter --> No Conversion Required
FINAL ANSWER
52.4379514678053 Square Meter <-- Area
(Calculation completed in 00.016 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 given chord length Formula

area = ((sqrt(5*(5-(2*sqrt(5)))))/2)*((Length of chord/1.6180)^2)
A = ((sqrt(5*(5-(2*sqrt(5)))))/2)*((LChord/1.6180)^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 given chord length?

Area of Pentagram given chord length calculator uses area = ((sqrt(5*(5-(2*sqrt(5)))))/2)*((Length of chord/1.6180)^2) to calculate the Area, The Area of Pentagram given chord length formula is defined as amount of space covered by pentagram in given space. Area is denoted by A symbol.

How to calculate Area of Pentagram given chord length using this online calculator? To use this online calculator for Area of Pentagram given chord length, enter Length of chord (LChord) and hit the calculate button. Here is how the Area of Pentagram given chord length calculation can be explained with given input values -> 52.43795 = ((sqrt(5*(5-(2*sqrt(5)))))/2)*((13/1.6180)^2).

FAQ

What is Area of Pentagram given chord length?
The Area of Pentagram given chord length formula is defined as amount of space covered by pentagram in given space and is represented as A = ((sqrt(5*(5-(2*sqrt(5)))))/2)*((LChord/1.6180)^2) or area = ((sqrt(5*(5-(2*sqrt(5)))))/2)*((Length of chord/1.6180)^2). Length of chord is the length of line segment joining two points on a curve of shape or object.
How to calculate Area of Pentagram given chord length?
The Area of Pentagram given chord length formula is defined as amount of space covered by pentagram in given space is calculated using area = ((sqrt(5*(5-(2*sqrt(5)))))/2)*((Length of chord/1.6180)^2). To calculate Area of Pentagram given chord length, you need Length of chord (LChord). With our tool, you need to enter the respective value for Length of chord 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 chord. 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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