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Spike Base of Fourstar Formula

GoSpike Base of Fourstar given Diameter Formula

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The Spike Base of Fourstar is the length of the square base of a Fourstar. Check FAQs

b Spike = \sqrt{2 \cdot {l e}^{2} \cdot (1 - \cos (∠ Inner))}

b_Spike - Spike Base of Fourstar?l_e - Edge Length of Fourstar?∠_Inner - Inner Angle of Fourstar?

Spike Base of Fourstar Example

With values

With units

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Here is how the Spike Base of Fourstar equation looks like with Values.

Here is how the Spike Base of Fourstar equation looks like with Units.

Here is how the Spike Base of Fourstar equation looks like.

6.0876 = \sqrt{2 \cdot 5^{2} \cdot (1 - \cos (75))}

6.0876m = \sqrt{2 \cdot {5m}^{2} \cdot (1 - \cos (75°))}

6.0876 = \sqrt{2 \cdot 5^{2} \cdot (1 - \cos (75))}

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Spike Base of Fourstar Solution

Follow our step by step solution on how to calculate Spike Base of Fourstar?

FIRST Step Consider the formula

b Spike = \sqrt{2 \cdot {l e}^{2} \cdot (1 - \cos (∠ Inner))}

Next Step Substitute values of Variables

∴

b Spike = \sqrt{2 \cdot {5m}^{2} \cdot (1 - \cos (75°))}

Next Step Convert Units

∴

b Spike = \sqrt{2 \cdot {5m}^{2} \cdot (1 - \cos (1.309rad))}

Next Step Prepare to Evaluate

∴

b Spike = \sqrt{2 \cdot 5^{2} \cdot (1 - \cos (1.309))}

Next Step Evaluate

∴

b Spike = 6.08761429008623m

LAST Step Rounding Answer

∴

b Spike = 6.0876m

Spike Base of Fourstar Formula Elements

Variables

Functions

Spike Base of Fourstar

The Spike Base of Fourstar is the length of the square base of a Fourstar.

Symbol: b_Spike

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Spike Base of Fourstar

Edge Length of Fourstar

The Edge Length of Fourstar is the length of any edge of the Fourstar shape from one end to other end.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Fourstar

Inner Angle of Fourstar

The Inner Angle of Fourstar is the unequal angle of the isosceles triangle that attached to the square or the angle between the edges which form the triangular spike, of the Fourstar.

Symbol: ∠_Inner

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Inner Angle of Fourstar

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

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.

Syntax: sqrt(Number)

Other Formulas to find Spike Base of Fourstar

Go Spike Base of Fourstar given Diameter

b Spike = D - 2 \cdot h Spike

Other formulas in Fourstar category

Go Outer Angle of Fourstar

∠ Outer = ∠ Inner + \frac{π}{2}

Go Spike Height of Fourstar given Inner Angle

h Spike = \frac{l e}{2} \cdot \sqrt{2 \cdot (1 + \cos (∠ Inner))}

Go Diameter of Fourstar given Edge Length and Inner Angle

D = l e \cdot \sqrt{2} \cdot (\sqrt{1 + \cos (∠ Inner)} + \sqrt{1 - \cos (∠ Inner)})

Go Chord Length of Fourstar

l c = \sqrt{2 \cdot {l e}^{2} \cdot (1 - \cos (∠ Outer))}

How to Evaluate Spike Base of Fourstar?

Spike Base of Fourstar evaluator uses Spike Base of Fourstar = sqrt(2*Edge Length of Fourstar^2*(1-cos(Inner Angle of Fourstar))) to evaluate the Spike Base of Fourstar, The Spike Base of Fourstar formula is defined as the length of the square base of a Fourstar. Spike Base of Fourstar is denoted by b_Spike symbol.

How to evaluate Spike Base of Fourstar using this online evaluator? To use this online evaluator for Spike Base of Fourstar, enter Edge Length of Fourstar (l_e) & Inner Angle of Fourstar (∠_Inner) and hit the calculate button.

FAQs on Spike Base of Fourstar

What is the formula to find Spike Base of Fourstar?

The formula of Spike Base of Fourstar is expressed as Spike Base of Fourstar = sqrt(2*Edge Length of Fourstar^2*(1-cos(Inner Angle of Fourstar))). Here is an example- 6.087614 = sqrt(2*5^2*(1-cos(1.3089969389955))).

How to calculate Spike Base of Fourstar?

With Edge Length of Fourstar (l_e) & Inner Angle of Fourstar (∠_Inner) we can find Spike Base of Fourstar using the formula - Spike Base of Fourstar = sqrt(2*Edge Length of Fourstar^2*(1-cos(Inner Angle of Fourstar))). This formula also uses Cosine (cos), Square Root (sqrt) function(s).

What are the other ways to Calculate Spike Base of Fourstar?

Here are the different ways to Calculate Spike Base of Fourstar-

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

Can the Spike Base of Fourstar be negative?

No, the Spike Base of Fourstar, measured in Length cannot be negative.

Which unit is used to measure Spike Base of Fourstar?

Spike Base of Fourstar is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Spike Base of Fourstar can be measured.

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