Area of Unicursal Hexagram given Perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Unicursal Hexagram = 5/6*sqrt(3)*((Perimeter of Unicursal Hexagram)/(2+10/sqrt(3)))^2
A = 5/6*sqrt(3)*((P)/(2+10/sqrt(3)))^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 Unicursal Hexagram - (Measured in Square Meter) - The Area of Unicursal Hexagram is defined as the total quantity of the region enclosed within the Unicursal Hexagram.
Perimeter of Unicursal Hexagram - (Measured in Meter) - The Perimeter of Unicursal Hexagram is defined as the total distance around the shape. It is the length of the outline or boundary of the Unicursal Hexagram.
STEP 1: Convert Input(s) to Base Unit
Perimeter of Unicursal Hexagram: 80 Meter --> 80 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = 5/6*sqrt(3)*((P)/(2+10/sqrt(3)))^2 --> 5/6*sqrt(3)*((80)/(2+10/sqrt(3)))^2
Evaluating ... ...
A = 152.871261255608
STEP 3: Convert Result to Output's Unit
152.871261255608 Square Meter --> No Conversion Required
FINAL ANSWER
152.871261255608 152.8713 Square Meter <-- Area of Unicursal Hexagram
(Calculation completed in 00.004 seconds)

Credits

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Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI
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8 Area of Unicursal Hexagram Calculators

Area of Unicursal Hexagram given Sections of Long Diagonal and Short Diagonal
Go Area of Unicursal Hexagram = ((Longest Section of SD of Unicursal Hexagram+Shortest Section of SD of Unicursal Hexagram)^2*sin(pi/3))+(2*Shortest Section of SD of Unicursal Hexagram*Section of Long Diagonal of Unicursal Hexagram)
Area of Unicursal Hexagram given Perimeter
Go Area of Unicursal Hexagram = 5/6*sqrt(3)*((Perimeter of Unicursal Hexagram)/(2+10/sqrt(3)))^2
Area of Unicursal Hexagram given Short Diagonal
Go Area of Unicursal Hexagram = 5/6*sqrt(3)*(Short Diagonal of Unicursal Hexagram/sqrt(3))^2
Area of Unicursal Hexagram given Longest Section of Short Diagonal
Go Area of Unicursal Hexagram = 20/6*(Longest Section of SD of Unicursal Hexagram)^2/sqrt(3)
Area of Unicursal Hexagram given Shortest Section of Short Diagonal
Go Area of Unicursal Hexagram = 30*(Shortest Section of SD of Unicursal Hexagram)^2/sqrt(3)
Area of Unicursal Hexagram given Medium Section of Short Diagonal
Go Area of Unicursal Hexagram = 15/2*(Medium Section of SD of Unicursal Hexagram)^2/sqrt(3)
Area of Unicursal Hexagram given Long Diagonal
Go Area of Unicursal Hexagram = 5/6*sqrt(3)*(Long Diagonal of Unicursal Hexagram/2)^2
Area of Unicursal Hexagram
Go Area of Unicursal Hexagram = 5/6*sqrt(3)*Edge Length of Unicursal Hexagram^2

Area of Unicursal Hexagram given Perimeter Formula

Area of Unicursal Hexagram = 5/6*sqrt(3)*((Perimeter of Unicursal Hexagram)/(2+10/sqrt(3)))^2
A = 5/6*sqrt(3)*((P)/(2+10/sqrt(3)))^2

What is Unicursal Hexagram?

A Unicursal Hexagram is a hexagram or six-pointed star that can be traced or drawn unicursal, in one continuous line rather than by two overlaid triangles. The hexagram can also be depicted inside a circle with the points touching it. It differs from the standard hexagram as the symbol has equidistant points but the lines are not of the same length.

How to Calculate Area of Unicursal Hexagram given Perimeter?

Area of Unicursal Hexagram given Perimeter calculator uses Area of Unicursal Hexagram = 5/6*sqrt(3)*((Perimeter of Unicursal Hexagram)/(2+10/sqrt(3)))^2 to calculate the Area of Unicursal Hexagram, The Area of Unicursal Hexagram given Perimeter formula is defined as the total quantity of the region enclosed within the Unicursal Hexagram, calculated using its perimeter. Area of Unicursal Hexagram is denoted by A symbol.

How to calculate Area of Unicursal Hexagram given Perimeter using this online calculator? To use this online calculator for Area of Unicursal Hexagram given Perimeter, enter Perimeter of Unicursal Hexagram (P) and hit the calculate button. Here is how the Area of Unicursal Hexagram given Perimeter calculation can be explained with given input values -> 152.8713 = 5/6*sqrt(3)*((80)/(2+10/sqrt(3)))^2.

FAQ

What is Area of Unicursal Hexagram given Perimeter?
The Area of Unicursal Hexagram given Perimeter formula is defined as the total quantity of the region enclosed within the Unicursal Hexagram, calculated using its perimeter and is represented as A = 5/6*sqrt(3)*((P)/(2+10/sqrt(3)))^2 or Area of Unicursal Hexagram = 5/6*sqrt(3)*((Perimeter of Unicursal Hexagram)/(2+10/sqrt(3)))^2. The Perimeter of Unicursal Hexagram is defined as the total distance around the shape. It is the length of the outline or boundary of the Unicursal Hexagram.
How to calculate Area of Unicursal Hexagram given Perimeter?
The Area of Unicursal Hexagram given Perimeter formula is defined as the total quantity of the region enclosed within the Unicursal Hexagram, calculated using its perimeter is calculated using Area of Unicursal Hexagram = 5/6*sqrt(3)*((Perimeter of Unicursal Hexagram)/(2+10/sqrt(3)))^2. To calculate Area of Unicursal Hexagram given Perimeter, you need Perimeter of Unicursal Hexagram (P). With our tool, you need to enter the respective value for Perimeter of Unicursal Hexagram 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 Unicursal Hexagram?
In this formula, Area of Unicursal Hexagram uses Perimeter of Unicursal Hexagram. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • Area of Unicursal Hexagram = 5/6*sqrt(3)*Edge Length of Unicursal Hexagram^2
  • Area of Unicursal Hexagram = 5/6*sqrt(3)*(Long Diagonal of Unicursal Hexagram/2)^2
  • Area of Unicursal Hexagram = 5/6*sqrt(3)*(Short Diagonal of Unicursal Hexagram/sqrt(3))^2
  • Area of Unicursal Hexagram = ((Longest Section of SD of Unicursal Hexagram+Shortest Section of SD of Unicursal Hexagram)^2*sin(pi/3))+(2*Shortest Section of SD of Unicursal Hexagram*Section of Long Diagonal of Unicursal Hexagram)
  • Area of Unicursal Hexagram = 20/6*(Longest Section of SD of Unicursal Hexagram)^2/sqrt(3)
  • Area of Unicursal Hexagram = 30*(Shortest Section of SD of Unicursal Hexagram)^2/sqrt(3)
  • Area of Unicursal Hexagram = 15/2*(Medium Section of SD of Unicursal Hexagram)^2/sqrt(3)
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