Diameter of Fourstar Calculator

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✖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 Height of Fourstar [h_Spike]			+10% -10%
✖The Spike Base of Fourstar is the length of the square base of a Fourstar.ⓘ Spike Base of Fourstar [b_Spike]			+10% -10%

✖The Diameter of Fourstar is the distance between the opposite spike tips of the Fourstar.ⓘ Diameter of Fourstar [D]

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Formula

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Diameter of Fourstar

Formula

`"D" = 2*"h"_{"Spike"}+"b"_{"Spike"}`

Example

`"14m"=2*"4m"+"6m"`

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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*h_Spike+b_Spike
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*h_Spike+b_Spike --> 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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Verified by Nikita Kumari

The National Institute of Engineering (NIE), Mysuru

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< 10+ Fourstar Calculators

Diameter of Fourstar given Edge Length and Inner Angle

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

Go Spike Height of Fourstar = Edge Length of Fourstar/2*sqrt(2*(1+cos(Inner Angle of Fourstar)))

Chord Length of Fourstar

Go Chord Length of Fourstar = sqrt(2*Edge Length of Fourstar^2*(1-cos(Outer Angle of Fourstar)))

Spike Base of Fourstar

Go Spike Base of Fourstar = sqrt(2*Edge Length of Fourstar^2*(1-cos(Inner Angle of Fourstar)))

Area of Fourstar

Go Area of Fourstar = (2*Spike Height of Fourstar*Spike Base of Fourstar)+Spike Base of Fourstar^2

Spike Height of Fourstar

Go Spike Height of Fourstar = sqrt((4*Edge Length of Fourstar^2-Spike Base of Fourstar^2)/4)

Spike Base of Fourstar given Diameter

Go Spike Base of Fourstar = Diameter of Fourstar-2*Spike Height of Fourstar

Diameter of Fourstar

Go Diameter of Fourstar = 2*Spike Height of Fourstar+Spike Base of Fourstar

Outer Angle of Fourstar

Go Outer Angle of Fourstar = Inner Angle of Fourstar+pi/2

Perimeter of Fourstar

Go Perimeter of Fourstar = 8*Edge Length of Fourstar

Diameter of Fourstar Formula

Diameter of Fourstar = 2*Spike Height of Fourstar+Spike Base of Fourstar
D = 2*h_Spike+b_Spike

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 (h_Spike) & Spike Base of Fourstar (b_Spike) 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*h_Spike+b_Spike 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 (h_Spike) & Spike Base of Fourstar (b_Spike). 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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