Spike Height of Fourstar Calculator

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✖The Edge Length of Fourstar is the length of any edge of the Fourstar shape from one end to other end.ⓘ Edge Length of Fourstar [l_e]			+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 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]

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Formula

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Spike Height of Fourstar

Formula

`"h"_{"Spike"} = sqrt((4*"l"_{"e"}^2-"b"_{"Spike"}^2)/4)`

Example

`"4m"=sqrt((4*("5m")^2-("6m")^2)/4)`

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Spike Height of Fourstar Solution

STEP 0: Pre-Calculation Summary

Formula Used

Spike Height of Fourstar = sqrt((4*Edge Length of Fourstar^2-Spike Base of Fourstar^2)/4)
h_Spike = sqrt((4*l_e^2-b_Spike^2)/4)
This formula uses 1 Functions, 3 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

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.
Edge Length of Fourstar - (Measured in Meter) - The Edge Length of Fourstar is the length of any edge of the Fourstar shape from one end to other end.
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

Edge Length of Fourstar: 5 Meter --> 5 Meter No Conversion Required
Spike Base of Fourstar: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_Spike = sqrt((4*l_e^2-b_Spike^2)/4) --> sqrt((4*5^2-6^2)/4)

Evaluating ... ...

h_Spike = 4

STEP 3: Convert Result to Output's Unit

4 Meter --> No Conversion Required

FINAL ANSWER

4 Meter <-- Spike Height of Fourstar

(Calculation completed in 00.020 seconds)

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Credits

Created by Nayana Phulphagar

Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI

Nayana Phulphagar has created this Calculator and 300+ more calculators!

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

Spike Height of Fourstar Formula

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

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 Height of Fourstar?

Spike Height of Fourstar calculator uses Spike Height of Fourstar = sqrt((4*Edge Length of Fourstar^2-Spike Base of Fourstar^2)/4) to calculate the Spike Height of Fourstar, The Spike Height of Fourstar formula is defined as the height of any isosceles triangles present in the Fourstar. Spike Height of Fourstar is denoted by h_Spike symbol.

How to calculate Spike Height of Fourstar using this online calculator? To use this online calculator for Spike Height of Fourstar, enter Edge Length of Fourstar (l_e) & Spike Base of Fourstar (b_Spike) and hit the calculate button. Here is how the Spike Height of Fourstar calculation can be explained with given input values -> 4 = sqrt((4*5^2-6^2)/4).

FAQ

What is Spike Height of Fourstar?

The Spike Height of Fourstar formula is defined as the height of any isosceles triangles present in the Fourstar and is represented as h_Spike = sqrt((4*l_e^2-b_Spike^2)/4) or Spike Height of Fourstar = sqrt((4*Edge Length of Fourstar^2-Spike Base of Fourstar^2)/4). The Edge Length of Fourstar is the length of any edge of the Fourstar shape from one end to other end & The Spike Base of Fourstar is the length of the square base of a Fourstar.

How to calculate Spike Height of Fourstar?

The Spike Height of Fourstar formula is defined as the height of any isosceles triangles present in the Fourstar is calculated using Spike Height of Fourstar = sqrt((4*Edge Length of Fourstar^2-Spike Base of Fourstar^2)/4). To calculate Spike Height of Fourstar, you need Edge Length of Fourstar (l_e) & Spike Base of Fourstar (b_Spike). With our tool, you need to enter the respective value for Edge Length 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 Spike Height of Fourstar?

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

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

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