Gap Height of Arrow Hexagon Calculator

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✖Short Side of Arrow Hexagon is the measurement of the length of the shortest side of the Arrow Hexagon.ⓘ Short Side of Arrow Hexagon [S_Short]			+10% -10%
✖Gap Width of Arrow Hexagon is the measurement of the base of the smaller isosceles triangle, removed at the center of the base of Arrow Hexagon.ⓘ Gap Width of Arrow Hexagon [w_Gap]			+10% -10%

✖Gap Height of Arrow Hexagon is the measurement of the length from the base to the top angle of the isosceles triangle removed at the center of its base.ⓘ Gap Height of Arrow Hexagon [h_Gap]

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Formula

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Gap Height of Arrow Hexagon

Formula

`"h"_{"Gap"} = sqrt(((4*"S"_{"Short"}^2)-"w"_{"Gap"}^2)/4)`

Example

`"5.454356m"=sqrt(((4*("6m")^2)-("5m")^2)/4)`

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Gap Height of Arrow Hexagon Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Gap Height of Arrow Hexagon - (Measured in Meter) - Gap Height of Arrow Hexagon is the measurement of the length from the base to the top angle of the isosceles triangle removed at the center of its base.
Short Side of Arrow Hexagon - (Measured in Meter) - Short Side of Arrow Hexagon is the measurement of the length of the shortest side of the Arrow Hexagon.
Gap Width of Arrow Hexagon - (Measured in Meter) - Gap Width of Arrow Hexagon is the measurement of the base of the smaller isosceles triangle, removed at the center of the base of Arrow Hexagon.

STEP 1: Convert Input(s) to Base Unit

Short Side of Arrow Hexagon: 6 Meter --> 6 Meter No Conversion Required
Gap Width of Arrow Hexagon: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_Gap = sqrt(((4*S_Short^2)-w_Gap^2)/4) --> sqrt(((4*6^2)-5^2)/4)

Evaluating ... ...

h_Gap = 5.45435605731786

STEP 3: Convert Result to Output's Unit

5.45435605731786 Meter --> No Conversion Required

FINAL ANSWER

5.45435605731786 ≈ 5.454356 Meter <-- Gap 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

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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

Gap Height of Arrow Hexagon Formula

Gap Height of Arrow Hexagon = sqrt(((4*Short Side of Arrow Hexagon^2)-Gap Width of Arrow Hexagon^2)/4)
h_Gap = sqrt(((4*S_Short^2)-w_Gap^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 Gap Height of Arrow Hexagon?

Gap Height of Arrow Hexagon calculator uses Gap Height of Arrow Hexagon = sqrt(((4*Short Side of Arrow Hexagon^2)-Gap Width of Arrow Hexagon^2)/4) to calculate the Gap Height of Arrow Hexagon, The Gap Height of Arrow Hexagon formula is defined as the measurement of the length from the base to the top angle of the smaller isosceles triangle removed at the center of the base of the Arrow Hexagon. Gap Height of Arrow Hexagon is denoted by h_Gap symbol.

How to calculate Gap Height of Arrow Hexagon using this online calculator? To use this online calculator for Gap Height of Arrow Hexagon, enter Short Side of Arrow Hexagon (S_Short) & Gap Width of Arrow Hexagon (w_Gap) and hit the calculate button. Here is how the Gap Height of Arrow Hexagon calculation can be explained with given input values -> 5.454356 = sqrt(((4*6^2)-5^2)/4).

FAQ

What is Gap Height of Arrow Hexagon?

The Gap Height of Arrow Hexagon formula is defined as the measurement of the length from the base to the top angle of the smaller isosceles triangle removed at the center of the base of the Arrow Hexagon and is represented as h_Gap = sqrt(((4*S_Short^2)-w_Gap^2)/4) or Gap Height of Arrow Hexagon = sqrt(((4*Short Side of Arrow Hexagon^2)-Gap Width of Arrow Hexagon^2)/4). Short Side of Arrow Hexagon is the measurement of the length of the shortest side of the Arrow Hexagon & Gap Width of Arrow Hexagon is the measurement of the base of the smaller isosceles triangle, removed at the center of the base of Arrow Hexagon.

How to calculate Gap Height of Arrow Hexagon?

The Gap Height of Arrow Hexagon formula is defined as the measurement of the length from the base to the top angle of the smaller isosceles triangle removed at the center of the base of the Arrow Hexagon is calculated using Gap Height of Arrow Hexagon = sqrt(((4*Short Side of Arrow Hexagon^2)-Gap Width of Arrow Hexagon^2)/4). To calculate Gap Height of Arrow Hexagon, you need Short Side of Arrow Hexagon (S_Short) & Gap Width of Arrow Hexagon (w_Gap). With our tool, you need to enter the respective value for Short Side of Arrow Hexagon & Gap 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.

How many ways are there to calculate Gap Height of Arrow Hexagon?

In this formula, Gap Height of Arrow Hexagon uses Short Side of Arrow Hexagon & Gap Width of Arrow Hexagon. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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