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Base Width 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%
✖Top Angle of Arrow Hexagon is defined as the angle between the two sides of equal length of the Arrow Hexagon.ⓘ Top Angle of Arrow Hexagon [∠_Top]			+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]

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Base Width of Arrow Hexagon Solution

STEP 0: Pre-Calculation Summary

Formula Used

Base Width of Arrow Hexagon = sqrt(2*Long Side of Arrow Hexagon^2*(1-cos(Top Angle of Arrow Hexagon)))
w_Base = sqrt(2*S_Long^2*(1-cos(∠_Top)))
This formula uses 2 Functions, 3 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., 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., sqrt(Number)

Variables Used

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.
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.
Top Angle of Arrow Hexagon - (Measured in Radian) - Top Angle of Arrow Hexagon is defined as the angle between the two sides of equal length of the Arrow Hexagon.

STEP 1: Convert Input(s) to Base Unit

Long Side of Arrow Hexagon: 10 Meter --> 10 Meter No Conversion Required
Top Angle of Arrow Hexagon: 45 Degree --> 0.785398163397301 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w_Base = sqrt(2*S_Long^2*(1-cos(∠_Top))) --> sqrt(2*10^2*(1-cos(0.785398163397301)))

Evaluating ... ...

w_Base = 7.65366864730043

STEP 3: Convert Result to Output's Unit

7.65366864730043 Meter --> No Conversion Required

FINAL ANSWER

7.65366864730043 ≈ 7.653669 Meter <-- Base Width of Arrow Hexagon

(Calculation completed in 00.020 seconds)

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Created by Prachi

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

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St Joseph's College (SJC), Bengaluru

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< Arrow Hexagon Calculators

Area of Arrow Hexagon

LaTeX 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

Perimeter of Arrow Hexagon

LaTeX 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

LaTeX 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

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

Base Width of Arrow Hexagon Formula

LaTeX Go

Base Width of Arrow Hexagon = sqrt(2*Long Side of Arrow Hexagon^2*(1-cos(Top Angle of Arrow Hexagon)))
w_Base = sqrt(2*S_Long^2*(1-cos(∠_Top)))

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 Base Width of Arrow Hexagon?

Base Width of Arrow Hexagon calculator uses Base Width of Arrow Hexagon = sqrt(2*Long Side of Arrow Hexagon^2*(1-cos(Top Angle of Arrow Hexagon))) to calculate the Base Width of Arrow Hexagon, Base Width of Arrow Hexagon formula is defined as the measurement of the total length of the base including the gap width of the Arrow Hexagon. Base Width of Arrow Hexagon is denoted by w_Base symbol.

How to calculate Base Width of Arrow Hexagon using this online calculator? To use this online calculator for Base Width of Arrow Hexagon, enter Long Side of Arrow Hexagon (S_Long) & Top Angle of Arrow Hexagon (∠_Top) and hit the calculate button. Here is how the Base Width of Arrow Hexagon calculation can be explained with given input values -> 7.653669 = sqrt(2*10^2*(1-cos(0.785398163397301))).

FAQ

What is Base Width of Arrow Hexagon?

Base Width of Arrow Hexagon formula is defined as the measurement of the total length of the base including the gap width of the Arrow Hexagon and is represented as w_Base = sqrt(2*S_Long^2*(1-cos(∠_Top))) or Base Width of Arrow Hexagon = sqrt(2*Long Side of Arrow Hexagon^2*(1-cos(Top Angle of Arrow Hexagon))). Long Side of Arrow Hexagon is the measurement of the length of the longest side of the Arrow Hexagon & Top Angle of Arrow Hexagon is defined as the angle between the two sides of equal length of the Arrow Hexagon.

How to calculate Base Width of Arrow Hexagon?

Base Width of Arrow Hexagon formula is defined as the measurement of the total length of the base including the gap width of the Arrow Hexagon is calculated using Base Width of Arrow Hexagon = sqrt(2*Long Side of Arrow Hexagon^2*(1-cos(Top Angle of Arrow Hexagon))). To calculate Base Width of Arrow Hexagon, you need Long Side of Arrow Hexagon (S_Long) & Top Angle of Arrow Hexagon (∠_Top). With our tool, you need to enter the respective value for Long Side of Arrow Hexagon & Top Angle 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 Base Width of Arrow Hexagon?

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

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

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