Spike Base of Fourstar given Diameter Calculator

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✖The Diameter of Fourstar is the distance between the opposite spike tips of the Fourstar.ⓘ Diameter of Fourstar [D]			+10% -10%
✖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 given Diameter [b_Spike]

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Formula

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Spike Base of Fourstar given Diameter

Formula

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

Example

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

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Spike Base of Fourstar given Diameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Spike Base of Fourstar = Diameter of Fourstar-2*Spike Height of Fourstar
b_Spike = D-2*h_Spike
This formula uses 3 Variables

Variables Used

Spike Base of Fourstar - (Measured in Meter) - The Spike Base of Fourstar is the length of the square base of a Fourstar.
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.

STEP 1: Convert Input(s) to Base Unit

Diameter of Fourstar: 14 Meter --> 14 Meter No Conversion Required
Spike Height of Fourstar: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b_Spike = D-2*h_Spike --> 14-2*4

Evaluating ... ...

b_Spike = 6

STEP 3: Convert Result to Output's Unit

6 Meter --> No Conversion Required

FINAL ANSWER

6 Meter <-- Spike Base of Fourstar

(Calculation completed in 00.004 seconds)

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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

Spike Base of Fourstar given Diameter Formula

Spike Base of Fourstar = Diameter of Fourstar-2*Spike Height of Fourstar
b_Spike = D-2*h_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 Spike Base of Fourstar given Diameter?

Spike Base of Fourstar given Diameter calculator uses Spike Base of Fourstar = Diameter of Fourstar-2*Spike Height of Fourstar to calculate the Spike Base of Fourstar, The Spike Base of Fourstar given Diameter formula is defined as the length of the square base of a Fourstar, calculated using its diameter. Spike Base of Fourstar is denoted by b_Spike symbol.

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

FAQ

What is Spike Base of Fourstar given Diameter?

The Spike Base of Fourstar given Diameter formula is defined as the length of the square base of a Fourstar, calculated using its diameter and is represented as b_Spike = D-2*h_Spike or Spike Base of Fourstar = Diameter of Fourstar-2*Spike Height of Fourstar. The Diameter of Fourstar is the distance between the opposite spike tips of the 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.

How to calculate Spike Base of Fourstar given Diameter?

The Spike Base of Fourstar given Diameter formula is defined as the length of the square base of a Fourstar, calculated using its diameter is calculated using Spike Base of Fourstar = Diameter of Fourstar-2*Spike Height of Fourstar. To calculate Spike Base of Fourstar given Diameter, you need Diameter of Fourstar (D) & Spike Height of Fourstar (h_Spike). With our tool, you need to enter the respective value for Diameter of Fourstar & Spike Height 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 Spike Base of Fourstar?

In this formula, Spike Base of Fourstar uses Diameter of Fourstar & Spike Height of Fourstar. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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