Total Height of Arrow Hexagon Calculator

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✖Long Side of Arrow Hexagon is the measurement of the length of the longest side of the Arrow Hexagon.ⓘ Long Side of Arrow Hexagon [S_Long]			+10% -10%
✖Base Width of Arrow Hexagon is the measurement of the total length of the base including the gap width of the Arrow hexagon.ⓘ Base Width of Arrow Hexagon [w_Base]			+10% -10%

✖Total Height of Arrow Hexagon is the measurement of the length from the base to the top angle.ⓘ Total Height of Arrow Hexagon [h_Total]

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Formula

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Total Height of Arrow Hexagon

Formula

`"h"_{"Total"} = sqrt(((4*"S"_{"Long"}^2)-"w"_{"Base"}^2)/4)`

Example

`"8.930286m"=sqrt(((4*("10m")^2)-("9m")^2)/4)`

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Total Height of Arrow Hexagon Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Height of Arrow Hexagon = sqrt(((4*Long Side of Arrow Hexagon^2)-Base Width of Arrow Hexagon^2)/4)
h_Total = sqrt(((4*S_Long^2)-w_Base^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

Total Height of Arrow Hexagon - (Measured in Meter) - Total Height of Arrow Hexagon is the measurement of the length from the base to the top angle.
Long Side of Arrow Hexagon - (Measured in Meter) - Long Side of Arrow Hexagon is the measurement of the length of the longest side of the Arrow Hexagon.
Base Width of Arrow Hexagon - (Measured in Meter) - Base Width of Arrow Hexagon is the measurement of the total length of the base including the gap width of the Arrow hexagon.

STEP 1: Convert Input(s) to Base Unit

Long Side of Arrow Hexagon: 10 Meter --> 10 Meter No Conversion Required
Base Width of Arrow Hexagon: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_Total = sqrt(((4*S_Long^2)-w_Base^2)/4) --> sqrt(((4*10^2)-9^2)/4)

Evaluating ... ...

h_Total = 8.93028554974588

STEP 3: Convert Result to Output's Unit

8.93028554974588 Meter --> No Conversion Required

FINAL ANSWER

8.93028554974588 ≈ 8.930286 Meter <-- Total Height of Arrow Hexagon

(Calculation completed in 00.004 seconds)

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Created by Prachi

Kamala Nehru College, University of Delhi (KNC), New Delhi

Prachi has created this Calculator and 50+ more calculators!

Verified by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< 9 Arrow Hexagon Calculators

Area of Arrow Hexagon

Go Area of Arrow Hexagon = ((Total Height of Arrow Hexagon*Base Width of Arrow Hexagon)-(Gap Height of Arrow Hexagon*Gap Width of Arrow Hexagon))/2

Short Sides of Arrow Hexagon

Go Short Side of Arrow Hexagon = sqrt((Gap Width of Arrow Hexagon^2)/(2*(1-cos(Top Angle of Arrow Hexagon))))

Base Width of Arrow Hexagon

Go Base Width of Arrow Hexagon = sqrt(2*Long Side of Arrow Hexagon^2*(1-cos(Top Angle of Arrow Hexagon)))

Perimeter of Arrow Hexagon

Go Perimeter of Arrow Hexagon = 2*(Long Side of Arrow Hexagon+Base Side of Arrow Hexagon+Short Side of Arrow Hexagon)

Total Height of Arrow Hexagon

Go Total Height of Arrow Hexagon = sqrt(((4*Long Side of Arrow Hexagon^2)-Base Width of Arrow Hexagon^2)/4)

Gap Height of Arrow Hexagon

Go Gap Height of Arrow Hexagon = sqrt(((4*Short Side of Arrow Hexagon^2)-Gap Width of Arrow Hexagon^2)/4)

Gap Height of Arrow Hexagon given Total Height

Go Gap Height of Arrow Hexagon = Total Height of Arrow Hexagon-Top Height of Arrow Hexagon

Top Height of Arrow Hexagon

Go Top Height of Arrow Hexagon = Total Height of Arrow Hexagon-Gap Height of Arrow Hexagon

Base Width of Arrow Hexagon given Base Side

Go Base Width of Arrow Hexagon = 2*Base Side of Arrow Hexagon+Gap Width of Arrow Hexagon

Total Height of Arrow Hexagon Formula

Total Height of Arrow Hexagon = sqrt(((4*Long Side of Arrow Hexagon^2)-Base Width of Arrow Hexagon^2)/4)
h_Total = sqrt(((4*S_Long^2)-w_Base^2)/4)

What is an Arrow Hexagon?

An Arrow Hexagon is actually an isosceles triangle, from which a smaller yet similar isosceles triangle is withdrawn at the center of its base. The resultant is a concave hexagon with three pairs of sides.

How to Calculate Total Height of Arrow Hexagon?

Total Height of Arrow Hexagon calculator uses Total Height of Arrow Hexagon = sqrt(((4*Long Side of Arrow Hexagon^2)-Base Width of Arrow Hexagon^2)/4) to calculate the Total Height of Arrow Hexagon, The Total Height of Arrow Hexagon formula is defined as the measurement of the length from the base to the top angle of the Arrow Hexagon. Total Height of Arrow Hexagon is denoted by h_Total symbol.

How to calculate Total Height of Arrow Hexagon using this online calculator? To use this online calculator for Total Height of Arrow Hexagon, enter Long Side of Arrow Hexagon (S_Long) & Base Width of Arrow Hexagon (w_Base) and hit the calculate button. Here is how the Total Height of Arrow Hexagon calculation can be explained with given input values -> 8.930286 = sqrt(((4*10^2)-9^2)/4).

FAQ

What is Total Height of Arrow Hexagon?

The Total Height of Arrow Hexagon formula is defined as the measurement of the length from the base to the top angle of the Arrow Hexagon and is represented as h_Total = sqrt(((4*S_Long^2)-w_Base^2)/4) or Total Height of Arrow Hexagon = sqrt(((4*Long Side of Arrow Hexagon^2)-Base Width of Arrow Hexagon^2)/4). Long Side of Arrow Hexagon is the measurement of the length of the longest side of the Arrow Hexagon & Base Width of Arrow Hexagon is the measurement of the total length of the base including the gap width of the Arrow hexagon.

How to calculate Total Height of Arrow Hexagon?

The Total Height of Arrow Hexagon formula is defined as the measurement of the length from the base to the top angle of the Arrow Hexagon is calculated using Total Height of Arrow Hexagon = sqrt(((4*Long Side of Arrow Hexagon^2)-Base Width of Arrow Hexagon^2)/4). To calculate Total Height of Arrow Hexagon, you need Long Side of Arrow Hexagon (S_Long) & Base Width of Arrow Hexagon (w_Base). With our tool, you need to enter the respective value for Long Side of Arrow Hexagon & Base Width of Arrow Hexagon and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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