Diameter of Fourstar Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of Fourstar = 2*Spike Height of Fourstar+Spike Base of Fourstar
D = 2*hSpike+bSpike
This formula uses 3 Variables
Variables Used
Diameter of Fourstar - (Measured in Meter) - The Diameter of Fourstar is the distance between the opposite spike tips of the Fourstar.
Spike Height of Fourstar - (Measured in Meter) - The Spike Height of Fourstar is the height of the isosceles triangles with respect to the unequal side, which are attached to the square of the Fourstar as the spikes.
Spike Base of Fourstar - (Measured in Meter) - The Spike Base of Fourstar is the length of the square base of a Fourstar.
STEP 1: Convert Input(s) to Base Unit
Spike Height of Fourstar: 4 Meter --> 4 Meter No Conversion Required
Spike Base of Fourstar: 6 Meter --> 6 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
D = 2*hSpike+bSpike --> 2*4+6
Evaluating ... ...
D = 14
STEP 3: Convert Result to Output's Unit
14 Meter --> No Conversion Required
FINAL ANSWER
14 Meter <-- Diameter of Fourstar
(Calculation completed in 00.004 seconds)
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Created by Nayana Phulphagar
Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI
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The National Institute of Engineering (NIE), Mysuru
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Fourstar Calculators

Diameter of Fourstar given Edge Length and Inner Angle
​ LaTeX ​ Go Diameter of Fourstar = Edge Length of Fourstar*sqrt(2)*(sqrt(1+cos(Inner Angle of Fourstar))+sqrt(1-cos(Inner Angle of Fourstar)))
Spike Height of Fourstar given Inner Angle
​ LaTeX ​ Go Spike Height of Fourstar = Edge Length of Fourstar/2*sqrt(2*(1+cos(Inner Angle of Fourstar)))
Spike Base of Fourstar
​ LaTeX ​ Go Spike Base of Fourstar = sqrt(2*Edge Length of Fourstar^2*(1-cos(Inner Angle of Fourstar)))
Outer Angle of Fourstar
​ LaTeX ​ Go Outer Angle of Fourstar = Inner Angle of Fourstar+pi/2

Diameter of Fourstar Formula

​LaTeX ​Go
Diameter of Fourstar = 2*Spike Height of Fourstar+Spike Base of Fourstar
D = 2*hSpike+bSpike

What is a Fourstar?

Fourstar is basically a four petal star shape. More clearly, it consists of a square and four identical triangles each having one side equal to the side length of the square. Each triangle is joined to the square with side of triangle with same length as the square coincide each other.

How to Calculate Diameter of Fourstar?

Diameter of Fourstar calculator uses Diameter of Fourstar = 2*Spike Height of Fourstar+Spike Base of Fourstar to calculate the Diameter of Fourstar, The Diameter of Fourstar formula is defined as the distance between the sharp tips of any two opposite triangular petals of a Fourstar. Diameter of Fourstar is denoted by D symbol.

How to calculate Diameter of Fourstar using this online calculator? To use this online calculator for Diameter of Fourstar, enter Spike Height of Fourstar (hSpike) & Spike Base of Fourstar (bSpike) and hit the calculate button. Here is how the Diameter of Fourstar calculation can be explained with given input values -> 14 = 2*4+6.

FAQ

What is Diameter of Fourstar?
The Diameter of Fourstar formula is defined as the distance between the sharp tips of any two opposite triangular petals of a Fourstar and is represented as D = 2*hSpike+bSpike or Diameter of Fourstar = 2*Spike Height of Fourstar+Spike Base of Fourstar. The Spike Height of Fourstar is the height of the isosceles triangles with respect to the unequal side, which are attached to the square of the Fourstar as the spikes & The Spike Base of Fourstar is the length of the square base of a Fourstar.
How to calculate Diameter of Fourstar?
The Diameter of Fourstar formula is defined as the distance between the sharp tips of any two opposite triangular petals of a Fourstar is calculated using Diameter of Fourstar = 2*Spike Height of Fourstar+Spike Base of Fourstar. To calculate Diameter of Fourstar, you need Spike Height of Fourstar (hSpike) & Spike Base of Fourstar (bSpike). With our tool, you need to enter the respective value for Spike Height of Fourstar & Spike Base of Fourstar 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 Diameter of Fourstar?
In this formula, Diameter of Fourstar uses Spike Height of Fourstar & Spike Base of Fourstar. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Diameter of Fourstar = Edge Length of Fourstar*sqrt(2)*(sqrt(1+cos(Inner Angle of Fourstar))+sqrt(1-cos(Inner Angle of Fourstar)))
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