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Area of Concave Quadrilateral Calculator

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✖First Outer Side of Concave Quadrilateral is the first outermost side of the Concave Quadrilateral.ⓘ First Outer Side of Concave Quadrilateral [S_{First Outer}]			+10% -10%
✖Inner Diagonal of Concave Quadrilateral is a straight line joining two opposite corners, and lies inside the region of Concave Quadrilateral.ⓘ Inner Diagonal of Concave Quadrilateral [d_Inner]			+10% -10%
✖First Inner Side of Concave Quadrilateral is the first innermost side of the Concave Quadrilateral.ⓘ First Inner Side of Concave Quadrilateral [S_{First Inner}]			+10% -10%
✖Second Outer Side of Concave Quadrilateral is the second outermost side of the Concave Quadrilateral.ⓘ Second Outer Side of Concave Quadrilateral [S_{Second Outer}]			+10% -10%
✖Second Inner Side of Concave Quadrilateral is the second innermost side of the Concave Quadrilateral.ⓘ Second Inner Side of Concave Quadrilateral [S_{Second Inner}]			+10% -10%

✖Area of Concave Quadrilateral is the amount of two-dimensional space taken up by the Concave Quadrilateral.ⓘ Area of Concave Quadrilateral [A]

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Area of Concave Quadrilateral Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Concave Quadrilateral = sqrt(((First Outer Side of Concave Quadrilateral+Inner Diagonal of Concave Quadrilateral+First Inner Side of Concave Quadrilateral)/2)*(((First Outer Side of Concave Quadrilateral+Inner Diagonal of Concave Quadrilateral+First Inner Side of Concave Quadrilateral)/2)-First Outer Side of Concave Quadrilateral)*(((First Outer Side of Concave Quadrilateral+Inner Diagonal of Concave Quadrilateral+First Inner Side of Concave Quadrilateral)/2)-Inner Diagonal of Concave Quadrilateral)*(((First Outer Side of Concave Quadrilateral+Inner Diagonal of Concave Quadrilateral+First Inner Side of Concave Quadrilateral)/2)-First Inner Side of Concave Quadrilateral))+sqrt(((Second Outer Side of Concave Quadrilateral+Inner Diagonal of Concave Quadrilateral+Second Inner Side of Concave Quadrilateral)/2)*(((Second Outer Side of Concave Quadrilateral+Inner Diagonal of Concave Quadrilateral+Second Inner Side of Concave Quadrilateral)/2)-Second Outer Side of Concave Quadrilateral)*(((Second Outer Side of Concave Quadrilateral+Inner Diagonal of Concave Quadrilateral+Second Inner Side of Concave Quadrilateral)/2)-Inner Diagonal of Concave Quadrilateral)*(((Second Outer Side of Concave Quadrilateral+Inner Diagonal of Concave Quadrilateral+Second Inner Side of Concave Quadrilateral)/2)-Second Inner Side of Concave Quadrilateral))
A = sqrt(((S_{First Outer}+d_Inner+S_{First Inner})/2)*(((S_{First Outer}+d_Inner+S_{First Inner})/2)-S_{First Outer})*(((S_{First Outer}+d_Inner+S_{First Inner})/2)-d_Inner)*(((S_{First Outer}+d_Inner+S_{First Inner})/2)-S_{First Inner}))+sqrt(((S_{Second Outer}+d_Inner+S_{Second Inner})/2)*(((S_{Second Outer}+d_Inner+S_{Second Inner})/2)-S_{Second Outer})*(((S_{Second Outer}+d_Inner+S_{Second Inner})/2)-d_Inner)*(((S_{Second Outer}+d_Inner+S_{Second Inner})/2)-S_{Second Inner}))
This formula uses 1 Functions, 6 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

Area of Concave Quadrilateral - (Measured in Square Meter) - Area of Concave Quadrilateral is the amount of two-dimensional space taken up by the Concave Quadrilateral.
First Outer Side of Concave Quadrilateral - (Measured in Meter) - First Outer Side of Concave Quadrilateral is the first outermost side of the Concave Quadrilateral.
Inner Diagonal of Concave Quadrilateral - (Measured in Meter) - Inner Diagonal of Concave Quadrilateral is a straight line joining two opposite corners, and lies inside the region of Concave Quadrilateral.
First Inner Side of Concave Quadrilateral - (Measured in Meter) - First Inner Side of Concave Quadrilateral is the first innermost side of the Concave Quadrilateral.
Second Outer Side of Concave Quadrilateral - (Measured in Meter) - Second Outer Side of Concave Quadrilateral is the second outermost side of the Concave Quadrilateral.
Second Inner Side of Concave Quadrilateral - (Measured in Meter) - Second Inner Side of Concave Quadrilateral is the second innermost side of the Concave Quadrilateral.

STEP 1: Convert Input(s) to Base Unit

First Outer Side of Concave Quadrilateral: 10 Meter --> 10 Meter No Conversion Required
Inner Diagonal of Concave Quadrilateral: 4 Meter --> 4 Meter No Conversion Required
First Inner Side of Concave Quadrilateral: 7 Meter --> 7 Meter No Conversion Required
Second Outer Side of Concave Quadrilateral: 5 Meter --> 5 Meter No Conversion Required
Second Inner Side of Concave Quadrilateral: 2 Meter --> 2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = sqrt(((S_{First Outer}+d_Inner+S_{First Inner})/2)*(((S_{First Outer}+d_Inner+S_{First Inner})/2)-S_{First Outer})*(((S_{First Outer}+d_Inner+S_{First Inner})/2)-d_Inner)*(((S_{First Outer}+d_Inner+S_{First Inner})/2)-S_{First Inner}))+sqrt(((S_{Second Outer}+d_Inner+S_{Second Inner})/2)*(((S_{Second Outer}+d_Inner+S_{Second Inner})/2)-S_{Second Outer})*(((S_{Second Outer}+d_Inner+S_{Second Inner})/2)-d_Inner)*(((S_{Second Outer}+d_Inner+S_{Second Inner})/2)-S_{Second Inner})) --> sqrt(((10+4+7)/2)*(((10+4+7)/2)-10)*(((10+4+7)/2)-4)*(((10+4+7)/2)-7))+sqrt(((5+4+2)/2)*(((5+4+2)/2)-5)*(((5+4+2)/2)-4)*(((5+4+2)/2)-2))

Evaluating ... ...

A = 14.7284175355899

STEP 3: Convert Result to Output's Unit

14.7284175355899 Square Meter --> No Conversion Required

FINAL ANSWER

14.7284175355899 ≈ 14.72842 Square Meter <-- Area of Concave Quadrilateral

(Calculation completed in 00.009 seconds)

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< Concave Quadrilateral Calculators

Inner Diagonal of Concave Quadrilateral

LaTeX Go Inner Diagonal of Concave Quadrilateral = sqrt(Second Outer Side of Concave Quadrilateral^2+Second Inner Side of Concave Quadrilateral^2-(2*Second Outer Side of Concave Quadrilateral*Second Inner Side of Concave Quadrilateral*cos(Third Acute Angle of Concave Quadrilateral)))

Outer Diagonal of Concave Quadrilateral

LaTeX Go Outer Diagonal of Concave Quadrilateral = sqrt(First Outer Side of Concave Quadrilateral^2+Second Outer Side of Concave Quadrilateral^2-(2*First Outer Side of Concave Quadrilateral*Second Outer Side of Concave Quadrilateral*cos(Second Acute Angle of Concave Quadrilateral)))

First Inner Side of Concave Quadrilateral

LaTeX Go First Inner Side of Concave Quadrilateral = sqrt(First Outer Side of Concave Quadrilateral^2+Outer Diagonal of Concave Quadrilateral^2-(2*First Outer Side of Concave Quadrilateral*Outer Diagonal of Concave Quadrilateral*cos(Second Acute Angle of Concave Quadrilateral)))

First Acute Angle of Concave Quadrilateral

LaTeX Go First Acute Angle of Concave Quadrilateral = arccos((First Outer Side of Concave Quadrilateral^2+First Inner Side of Concave Quadrilateral^2-Inner Diagonal of Concave Quadrilateral^2)/(2*First Outer Side of Concave Quadrilateral*First Inner Side of Concave Quadrilateral))

Area of Concave Quadrilateral Formula

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What is a Concave Quadrilateral?

A Quadrilateral is called a concave quadrilateral, if at least one line segment joining the vertices is not a part of the same region of the quadrilateral. That is, any line segment that joins two interior points goes outside the figure.

How to Calculate Area of Concave Quadrilateral?

Area of Concave Quadrilateral calculator uses Area of Concave Quadrilateral = sqrt(((First Outer Side of Concave Quadrilateral+Inner Diagonal of Concave Quadrilateral+First Inner Side of Concave Quadrilateral)/2)*(((First Outer Side of Concave Quadrilateral+Inner Diagonal of Concave Quadrilateral+First Inner Side of Concave Quadrilateral)/2)-First Outer Side of Concave Quadrilateral)*(((First Outer Side of Concave Quadrilateral+Inner Diagonal of Concave Quadrilateral+First Inner Side of Concave Quadrilateral)/2)-Inner Diagonal of Concave Quadrilateral)*(((First Outer Side of Concave Quadrilateral+Inner Diagonal of Concave Quadrilateral+First Inner Side of Concave Quadrilateral)/2)-First Inner Side of Concave Quadrilateral))+sqrt(((Second Outer Side of Concave Quadrilateral+Inner Diagonal of Concave Quadrilateral+Second Inner Side of Concave Quadrilateral)/2)*(((Second Outer Side of Concave Quadrilateral+Inner Diagonal of Concave Quadrilateral+Second Inner Side of Concave Quadrilateral)/2)-Second Outer Side of Concave Quadrilateral)*(((Second Outer Side of Concave Quadrilateral+Inner Diagonal of Concave Quadrilateral+Second Inner Side of Concave Quadrilateral)/2)-Inner Diagonal of Concave Quadrilateral)*(((Second Outer Side of Concave Quadrilateral+Inner Diagonal of Concave Quadrilateral+Second Inner Side of Concave Quadrilateral)/2)-Second Inner Side of Concave Quadrilateral)) to calculate the Area of Concave Quadrilateral, The Area of Concave Quadrilateral formula is defined as the total space occupied by the Concave Quadrilateral. Area of Concave Quadrilateral is denoted by A symbol.

How to calculate Area of Concave Quadrilateral using this online calculator? To use this online calculator for Area of Concave Quadrilateral, enter First Outer Side of Concave Quadrilateral (S_{First Outer}), Inner Diagonal of Concave Quadrilateral (d_Inner), First Inner Side of Concave Quadrilateral (S_{First Inner}), Second Outer Side of Concave Quadrilateral (S_{Second Outer}) & Second Inner Side of Concave Quadrilateral (S_{Second Inner}) and hit the calculate button. Here is how the Area of Concave Quadrilateral calculation can be explained with given input values -> 14.72842 = sqrt(((10+4+7)/2)*(((10+4+7)/2)-10)*(((10+4+7)/2)-4)*(((10+4+7)/2)-7))+sqrt(((5+4+2)/2)*(((5+4+2)/2)-5)*(((5+4+2)/2)-4)*(((5+4+2)/2)-2)).

FAQ

What is Area of Concave Quadrilateral?

The Area of Concave Quadrilateral formula is defined as the total space occupied by the Concave Quadrilateral and is represented as A = sqrt(((S_{First Outer}+d_Inner+S_{First Inner})/2)*(((S_{First Outer}+d_Inner+S_{First Inner})/2)-S_{First Outer})*(((S_{First Outer}+d_Inner+S_{First Inner})/2)-d_Inner)*(((S_{First Outer}+d_Inner+S_{First Inner})/2)-S_{First Inner}))+sqrt(((S_{Second Outer}+d_Inner+S_{Second Inner})/2)*(((S_{Second Outer}+d_Inner+S_{Second Inner})/2)-S_{Second Outer})*(((S_{Second Outer}+d_Inner+S_{Second Inner})/2)-d_Inner)*(((S_{Second Outer}+d_Inner+S_{Second Inner})/2)-S_{Second Inner})) or Area of Concave Quadrilateral = sqrt(((First Outer Side of Concave Quadrilateral+Inner Diagonal of Concave Quadrilateral+First Inner Side of Concave Quadrilateral)/2)*(((First Outer Side of Concave Quadrilateral+Inner Diagonal of Concave Quadrilateral+First Inner Side of Concave Quadrilateral)/2)-First Outer Side of Concave Quadrilateral)*(((First Outer Side of Concave Quadrilateral+Inner Diagonal of Concave Quadrilateral+First Inner Side of Concave Quadrilateral)/2)-Inner Diagonal of Concave Quadrilateral)*(((First Outer Side of Concave Quadrilateral+Inner Diagonal of Concave Quadrilateral+First Inner Side of Concave Quadrilateral)/2)-First Inner Side of Concave Quadrilateral))+sqrt(((Second Outer Side of Concave Quadrilateral+Inner Diagonal of Concave Quadrilateral+Second Inner Side of Concave Quadrilateral)/2)*(((Second Outer Side of Concave Quadrilateral+Inner Diagonal of Concave Quadrilateral+Second Inner Side of Concave Quadrilateral)/2)-Second Outer Side of Concave Quadrilateral)*(((Second Outer Side of Concave Quadrilateral+Inner Diagonal of Concave Quadrilateral+Second Inner Side of Concave Quadrilateral)/2)-Inner Diagonal of Concave Quadrilateral)*(((Second Outer Side of Concave Quadrilateral+Inner Diagonal of Concave Quadrilateral+Second Inner Side of Concave Quadrilateral)/2)-Second Inner Side of Concave Quadrilateral)). First Outer Side of Concave Quadrilateral is the first outermost side of the Concave Quadrilateral, Inner Diagonal of Concave Quadrilateral is a straight line joining two opposite corners, and lies inside the region of Concave Quadrilateral, First Inner Side of Concave Quadrilateral is the first innermost side of the Concave Quadrilateral, Second Outer Side of Concave Quadrilateral is the second outermost side of the Concave Quadrilateral & Second Inner Side of Concave Quadrilateral is the second innermost side of the Concave Quadrilateral.

How to calculate Area of Concave Quadrilateral?

The Area of Concave Quadrilateral formula is defined as the total space occupied by the Concave Quadrilateral is calculated using Area of Concave Quadrilateral = sqrt(((First Outer Side of Concave Quadrilateral+Inner Diagonal of Concave Quadrilateral+First Inner Side of Concave Quadrilateral)/2)*(((First Outer Side of Concave Quadrilateral+Inner Diagonal of Concave Quadrilateral+First Inner Side of Concave Quadrilateral)/2)-First Outer Side of Concave Quadrilateral)*(((First Outer Side of Concave Quadrilateral+Inner Diagonal of Concave Quadrilateral+First Inner Side of Concave Quadrilateral)/2)-Inner Diagonal of Concave Quadrilateral)*(((First Outer Side of Concave Quadrilateral+Inner Diagonal of Concave Quadrilateral+First Inner Side of Concave Quadrilateral)/2)-First Inner Side of Concave Quadrilateral))+sqrt(((Second Outer Side of Concave Quadrilateral+Inner Diagonal of Concave Quadrilateral+Second Inner Side of Concave Quadrilateral)/2)*(((Second Outer Side of Concave Quadrilateral+Inner Diagonal of Concave Quadrilateral+Second Inner Side of Concave Quadrilateral)/2)-Second Outer Side of Concave Quadrilateral)*(((Second Outer Side of Concave Quadrilateral+Inner Diagonal of Concave Quadrilateral+Second Inner Side of Concave Quadrilateral)/2)-Inner Diagonal of Concave Quadrilateral)*(((Second Outer Side of Concave Quadrilateral+Inner Diagonal of Concave Quadrilateral+Second Inner Side of Concave Quadrilateral)/2)-Second Inner Side of Concave Quadrilateral)). To calculate Area of Concave Quadrilateral, you need First Outer Side of Concave Quadrilateral (S_{First Outer}), Inner Diagonal of Concave Quadrilateral (d_Inner), First Inner Side of Concave Quadrilateral (S_{First Inner}), Second Outer Side of Concave Quadrilateral (S_{Second Outer}) & Second Inner Side of Concave Quadrilateral (S_{Second Inner}). With our tool, you need to enter the respective value for First Outer Side of Concave Quadrilateral, Inner Diagonal of Concave Quadrilateral, First Inner Side of Concave Quadrilateral, Second Outer Side of Concave Quadrilateral & Second Inner Side of Concave Quadrilateral 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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