First Inner Side of Concave Quadrilateral Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))
SFirst Inner = sqrt(SFirst Outer^2+dOuter^2-(2*SFirst Outer*dOuter*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
First Inner Side of Concave Quadrilateral - (Measured in Meter) - First Inner Side of Concave Quadrilateral is the first innermost side 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.
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.
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
Outer Diagonal of Concave Quadrilateral: 8 Meter --> 8 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
SFirst Inner = sqrt(SFirst Outer^2+dOuter^2-(2*SFirst Outer*dOuter*cos(∠Second Acute))) --> sqrt(10^2+8^2-(2*10*8*cos(0.785398163397301)))
Evaluating ... ...
SFirst Inner = 7.13182410117746
STEP 3: Convert Result to Output's Unit
7.13182410117746 Meter --> No Conversion Required
FINAL ANSWER
7.13182410117746 7.131824 Meter <-- First Inner Side of Concave Quadrilateral
(Calculation completed in 00.004 seconds)

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Created by Mona Gladys
St Joseph's College (SJC), Bengaluru
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Verified by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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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))

First Inner Side of Concave Quadrilateral Formula

​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)))
SFirst Inner = sqrt(SFirst Outer^2+dOuter^2-(2*SFirst Outer*dOuter*cos(Second Acute)))

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 First Inner Side of Concave Quadrilateral?

First Inner Side of Concave Quadrilateral calculator uses 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))) to calculate the First Inner Side of Concave Quadrilateral, First Inner side of Concave Quadrilateral formula is defined as the length of one of the inner sides of the Concave Quadrilateral. First Inner Side of Concave Quadrilateral is denoted by SFirst Inner symbol.

How to calculate First Inner Side of Concave Quadrilateral using this online calculator? To use this online calculator for First Inner Side of Concave Quadrilateral, enter First Outer Side of Concave Quadrilateral (SFirst Outer), Outer Diagonal of Concave Quadrilateral (dOuter) & Second Acute Angle of Concave Quadrilateral (∠Second Acute) and hit the calculate button. Here is how the First Inner Side of Concave Quadrilateral calculation can be explained with given input values -> 7.131824 = sqrt(10^2+8^2-(2*10*8*cos(0.785398163397301))).

FAQ

What is First Inner Side of Concave Quadrilateral?
First Inner side of Concave Quadrilateral formula is defined as the length of one of the inner sides of the Concave Quadrilateral and is represented as SFirst Inner = sqrt(SFirst Outer^2+dOuter^2-(2*SFirst Outer*dOuter*cos(∠Second Acute))) or 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 Outer Side of Concave Quadrilateral is the first outermost side of the Concave Quadrilateral, Outer Diagonal of Concave Quadrilateral is a straight line joining two opposite corners, and lies outside the region 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 First Inner Side of Concave Quadrilateral?
First Inner side of Concave Quadrilateral formula is defined as the length of one of the inner sides of the Concave Quadrilateral is calculated using 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))). To calculate First Inner Side of Concave Quadrilateral, you need First Outer Side of Concave Quadrilateral (SFirst Outer), Outer Diagonal of Concave Quadrilateral (dOuter) & 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, Outer Diagonal 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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