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Spike Height of Polygram given Area Formula

GoSpike Height of Polygram Formula

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The Spike Height of Polygram is the height of the isosceles triangles with respect to the unequal side, which are attached to the polygon of the Polygram as the spikes. Check FAQs

h Spike = (\frac{2 \cdot A}{N Spikes \cdot l Base}) - (\frac{l Base}{2 \cdot \tan (\frac{π}{N Spikes})})

h_Spike - Spike Height of Polygram?A - Area of Polygram?N_Spikes - Number of Spikes in Polygram?l_Base - Base Length of Polygram?π - Archimedes' constant?

Spike Height of Polygram given Area Example

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Here is how the Spike Height of Polygram given Area equation looks like with Values.

Here is how the Spike Height of Polygram given Area equation looks like with Units.

Here is how the Spike Height of Polygram given Area equation looks like.

4.1003 = (\frac{2 \cdot 400}{10 \cdot 6}) - (\frac{6}{2 \cdot \tan (\frac{3.1416}{10})})

4.1003m = (\frac{2 \cdot 400m²}{10 \cdot 6m}) - (\frac{6m}{2 \cdot \tan (\frac{3.1416}{10})})

4.1003 = (\frac{2 \cdot 400}{10 \cdot 6}) - (\frac{6}{2 \cdot \tan (\frac{3.1416}{10})})

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Spike Height of Polygram given Area Solution

Follow our step by step solution on how to calculate Spike Height of Polygram given Area?

FIRST Step Consider the formula

h Spike = (\frac{2 \cdot A}{N Spikes \cdot l Base}) - (\frac{l Base}{2 \cdot \tan (\frac{π}{N Spikes})})

Next Step Substitute values of Variables

∴

h Spike = (\frac{2 \cdot 400m²}{10 \cdot 6m}) - (\frac{6m}{2 \cdot \tan (\frac{π}{10})})

Next Step Substitute values of Constants

∴

h Spike = (\frac{2 \cdot 400m²}{10 \cdot 6m}) - (\frac{6m}{2 \cdot \tan (\frac{3.1416}{10})})

Next Step Prepare to Evaluate

∴

h Spike = (\frac{2 \cdot 400}{10 \cdot 6}) - (\frac{6}{2 \cdot \tan (\frac{3.1416}{10})})

Next Step Evaluate

∴

h Spike = 4.10028272180757m

LAST Step Rounding Answer

∴

h Spike = 4.1003m

Spike Height of Polygram given Area Formula Elements

Variables

Constants

Functions

Spike Height of Polygram

The Spike Height of Polygram is the height of the isosceles triangles with respect to the unequal side, which are attached to the polygon of the Polygram as the spikes.

Symbol: h_Spike

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Spike Height of Polygram

Area of Polygram

The Area of Polygram is the total quantity of plane enclosed by the boundary of Polygram shape.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Polygram

Number of Spikes in Polygram

The Number of Spikes in Polygram is the total count of isosceles triangular spikes the Polygram has or the total number of sides of the polygon on which the spikes are attached to form the Polygram.

Symbol: N_Spikes

Measurement: NAUnit: Unitless

Note: Value should be greater than 2.

Formulas to find Number of Spikes in Polygram

Base Length of Polygram

The Base Length of Polygram is the length of the unequal side of the isosceles triangle which forms as the spikes of the Polygram or the side length of the polygon of Polygram.

Symbol: l_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Length of Polygram

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

Other Formulas to find Spike Height of Polygram

Go Spike Height of Polygram

h Spike = \sqrt{\frac{(4 \cdot {l e}^{2}) - {l Base}^{2}}{4}}

How to Evaluate Spike Height of Polygram given Area?

Spike Height of Polygram given Area evaluator uses Spike Height of Polygram = ((2*Area of Polygram)/(Number of Spikes in Polygram*Base Length of Polygram))-(Base Length of Polygram/(2*tan(pi/Number of Spikes in Polygram))) to evaluate the Spike Height of Polygram, The Spike Height of Polygram given Area formula is defined assthe height of the isosceles triangles with respect to the unequal side, which are attached to the polygon of the Polygram as the spikes and calculated using the area of the Polygram. Spike Height of Polygram is denoted by h_Spike symbol.

How to evaluate Spike Height of Polygram given Area using this online evaluator? To use this online evaluator for Spike Height of Polygram given Area, enter Area of Polygram (A), Number of Spikes in Polygram (N_Spikes) & Base Length of Polygram (l_Base) and hit the calculate button.

FAQs on Spike Height of Polygram given Area

What is the formula to find Spike Height of Polygram given Area?

The formula of Spike Height of Polygram given Area is expressed as Spike Height of Polygram = ((2*Area of Polygram)/(Number of Spikes in Polygram*Base Length of Polygram))-(Base Length of Polygram/(2*tan(pi/Number of Spikes in Polygram))). Here is an example- 4.100283 = ((2*400)/(10*6))-(6/(2*tan(pi/10))).

How to calculate Spike Height of Polygram given Area?

With Area of Polygram (A), Number of Spikes in Polygram (N_Spikes) & Base Length of Polygram (l_Base) we can find Spike Height of Polygram given Area using the formula - Spike Height of Polygram = ((2*Area of Polygram)/(Number of Spikes in Polygram*Base Length of Polygram))-(Base Length of Polygram/(2*tan(pi/Number of Spikes in Polygram))). This formula also uses Archimedes' constant and Tangent (tan) function(s).

What are the other ways to Calculate Spike Height of Polygram?

Here are the different ways to Calculate Spike Height of Polygram-

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

Can the Spike Height of Polygram given Area be negative?

No, the Spike Height of Polygram given Area, measured in Length cannot be negative.

Which unit is used to measure Spike Height of Polygram given Area?

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

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Spike Height of Polygram given Area Formula

​GoSpike Height of Polygram Formula

Spike Height of Polygram given Area Example

Spike Height of Polygram given Area Solution

Spike Height of Polygram given Area Formula Elements

Other Formulas to find Spike Height of Polygram

How to Evaluate Spike Height of Polygram given Area?

FAQs on Spike Height of Polygram given Area

Variable Name

GoSpike Height of Polygram Formula