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Outer Diagonal 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%
✖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 Acute Angle of Concave Quadrilateral is the angle formed between second outer and second inner side of the Concave Quadrilateral.ⓘ Second Acute Angle of Concave Quadrilateral [∠_{Second Acute}]			+10% -10%

✖Outer Diagonal of Concave Quadrilateral is a straight line joining two opposite corners, and lies outside the region of the Concave Quadrilateral.ⓘ Outer Diagonal of Concave Quadrilateral [d_Outer]

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Outer Diagonal of Concave Quadrilateral Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
d_Outer = sqrt(S_{First Outer}^2+S_{Second Outer}^2-(2*S_{First Outer}*S_{Second Outer}*cos(∠_{Second Acute})))
This formula uses 2 Functions, 4 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

Outer Diagonal of Concave Quadrilateral - (Measured in Meter) - Outer Diagonal of Concave Quadrilateral is a straight line joining two opposite corners, and lies outside the region of 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.
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 Acute Angle of Concave Quadrilateral - (Measured in Radian) - Second Acute Angle of Concave Quadrilateral is the angle formed between second outer and second inner 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
Second Outer Side of Concave Quadrilateral: 5 Meter --> 5 Meter No Conversion Required
Second Acute Angle of Concave Quadrilateral: 45 Degree --> 0.785398163397301 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_Outer = sqrt(S_{First Outer}^2+S_{Second Outer}^2-(2*S_{First Outer}*S_{Second Outer}*cos(∠_{Second Acute}))) --> sqrt(10^2+5^2-(2*10*5*cos(0.785398163397301)))

Evaluating ... ...

d_Outer = 7.3681287910388

STEP 3: Convert Result to Output's Unit

7.3681287910388 Meter --> No Conversion Required

FINAL ANSWER

7.3681287910388 ≈ 7.368129 Meter <-- Outer Diagonal of Concave Quadrilateral

(Calculation completed in 00.004 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))

Outer Diagonal of Concave Quadrilateral Formula

LaTeX Go

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 Outer Diagonal of Concave Quadrilateral?

Outer Diagonal of Concave Quadrilateral calculator uses 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))) to calculate the Outer Diagonal of Concave Quadrilateral, The Outer Diagonal of Concave Quadrilateral formula is defined as the length of the diagonal formed outside the Concave Quadrilateral. Outer Diagonal of Concave Quadrilateral is denoted by d_Outer symbol.

How to calculate Outer Diagonal of Concave Quadrilateral using this online calculator? To use this online calculator for Outer Diagonal of Concave Quadrilateral, enter First Outer Side of Concave Quadrilateral (S_{First Outer}), Second Outer Side of Concave Quadrilateral (S_{Second Outer}) & Second Acute Angle of Concave Quadrilateral (∠_{Second Acute}) and hit the calculate button. Here is how the Outer Diagonal of Concave Quadrilateral calculation can be explained with given input values -> 7.368129 = sqrt(10^2+5^2-(2*10*5*cos(0.785398163397301))).

FAQ

What is Outer Diagonal of Concave Quadrilateral?

The Outer Diagonal of Concave Quadrilateral formula is defined as the length of the diagonal formed outside the Concave Quadrilateral and is represented as d_Outer = sqrt(S_{First Outer}^2+S_{Second Outer}^2-(2*S_{First Outer}*S_{Second Outer}*cos(∠_{Second Acute}))) or 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 Outer Side of Concave Quadrilateral is the first outermost side of the Concave Quadrilateral, Second Outer Side of Concave Quadrilateral is the second outermost side of the Concave Quadrilateral & Second Acute Angle of Concave Quadrilateral is the angle formed between second outer and second inner side of the Concave Quadrilateral.

How to calculate Outer Diagonal of Concave Quadrilateral?

The Outer Diagonal of Concave Quadrilateral formula is defined as the length of the diagonal formed outside the Concave Quadrilateral is calculated using 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))). To calculate Outer Diagonal of Concave Quadrilateral, you need First Outer Side of Concave Quadrilateral (S_{First Outer}), Second Outer Side of Concave Quadrilateral (S_{Second Outer}) & Second Acute Angle of Concave Quadrilateral (∠_{Second Acute}). With our tool, you need to enter the respective value for First Outer Side of Concave Quadrilateral, Second Outer Side of Concave Quadrilateral & Second Acute Angle 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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