Area of Arrow Hexagon Calculator

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✖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]			+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%
✖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]			+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%

✖Area of Arrow Hexagon is the amount of two-dimensional space taken by the Arrow Hexagon.ⓘ Area of Arrow Hexagon [A]

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Formula

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Area of Arrow Hexagon

Formula

`"A" = (("h"_{"Total"}*"w"_{"Base"})-("h"_{"Gap"}*"w"_{"Gap"}))/2`

Example

`"32m²"=(("11m"*"9m")-("7m"*"5m"))/2`

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Area of Arrow Hexagon Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
A = ((h_Total*w_Base)-(h_Gap*w_Gap))/2
This formula uses 5 Variables

Variables Used

Area of Arrow Hexagon - (Measured in Square Meter) - Area of Arrow Hexagon is the amount of two-dimensional space taken by the Arrow Hexagon.
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.
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.
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.
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

Total Height of Arrow Hexagon: 11 Meter --> 11 Meter No Conversion Required
Base Width of Arrow Hexagon: 9 Meter --> 9 Meter No Conversion Required
Gap Height of Arrow Hexagon: 7 Meter --> 7 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

A = ((h_Total*w_Base)-(h_Gap*w_Gap))/2 --> ((11*9)-(7*5))/2

Evaluating ... ...

A = 32

STEP 3: Convert Result to Output's Unit

32 Square Meter --> No Conversion Required

FINAL ANSWER

32 Square Meter <-- Area 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!

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St Joseph's College (SJC), Bengaluru

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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

Area of Arrow Hexagon Formula

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
A = ((h_Total*w_Base)-(h_Gap*w_Gap))/2

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 Area of Arrow Hexagon?

Area of Arrow Hexagon calculator uses 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 to calculate the Area of Arrow Hexagon, The Area of Arrow Hexagon formula is defined as the amount of two-dimensional space taken by the Arrow Hexagon. Area of Arrow Hexagon is denoted by A symbol.

How to calculate Area of Arrow Hexagon using this online calculator? To use this online calculator for Area of Arrow Hexagon, enter Total Height of Arrow Hexagon (h_Total), Base Width of Arrow Hexagon (w_Base), Gap Height of Arrow Hexagon (h_Gap) & Gap Width of Arrow Hexagon (w_Gap) and hit the calculate button. Here is how the Area of Arrow Hexagon calculation can be explained with given input values -> 32 = ((11*9)-(7*5))/2.

FAQ

What is Area of Arrow Hexagon?

The Area of Arrow Hexagon formula is defined as the amount of two-dimensional space taken by the Arrow Hexagon and is represented as A = ((h_Total*w_Base)-(h_Gap*w_Gap))/2 or 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. Total Height of Arrow Hexagon is the measurement of the length from the base to the top angle, Base Width of Arrow Hexagon is the measurement of the total length of the base including the gap width of the Arrow hexagon, 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 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 Area of Arrow Hexagon?

The Area of Arrow Hexagon formula is defined as the amount of two-dimensional space taken by the Arrow Hexagon is calculated using 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. To calculate Area of Arrow Hexagon, you need Total Height of Arrow Hexagon (h_Total), Base Width of Arrow Hexagon (w_Base), Gap Height of Arrow Hexagon (h_Gap) & Gap Width of Arrow Hexagon (w_Gap). With our tool, you need to enter the respective value for Total Height of Arrow Hexagon, Base Width of Arrow Hexagon, Gap Height 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.

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