HCF of two numbers

Inner Diagonal of Concave Quadrilateral Calculator

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✖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%
✖Third Acute Angle of Concave Quadrilateral is the angle formed between both the outer sides of the Concave Quadrilateral.ⓘ Third Acute Angle of Concave Quadrilateral [∠_{Third Acute}]			+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]

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Inner Diagonal of Concave Quadrilateral Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
d_Inner = sqrt(S_{Second Outer}^2+S_{Second Inner}^2-(2*S_{Second Outer}*S_{Second Inner}*cos(∠_{Third 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

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.
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.
Third Acute Angle of Concave Quadrilateral - (Measured in Radian) - Third Acute Angle of Concave Quadrilateral is the angle formed between both the outer sides of the Concave Quadrilateral.

STEP 1: Convert Input(s) to Base Unit

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
Third Acute Angle of Concave Quadrilateral: 55 Degree --> 0.959931088596701 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_Inner = sqrt(S_{Second Outer}^2+S_{Second Inner}^2-(2*S_{Second Outer}*S_{Second Inner}*cos(∠_{Third Acute}))) --> sqrt(5^2+2^2-(2*5*2*cos(0.959931088596701)))

Evaluating ... ...

d_Inner = 4.18670171769809

STEP 3: Convert Result to Output's Unit

4.18670171769809 Meter --> No Conversion Required

FINAL ANSWER

4.18670171769809 ≈ 4.186702 Meter <-- Inner 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))

Inner 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 Inner Diagonal of Concave Quadrilateral?

Inner Diagonal of Concave Quadrilateral calculator uses 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))) to calculate the Inner Diagonal of Concave Quadrilateral, The Inner Diagonal of Concave Quadrilateral formula is defined as the length of the diagonal present inside the Concave Quadrilateral. Inner Diagonal of Concave Quadrilateral is denoted by d_Inner symbol.

How to calculate Inner Diagonal of Concave Quadrilateral using this online calculator? To use this online calculator for Inner Diagonal of Concave Quadrilateral, enter Second Outer Side of Concave Quadrilateral (S_{Second Outer}), Second Inner Side of Concave Quadrilateral (S_{Second Inner}) & Third Acute Angle of Concave Quadrilateral (∠_{Third Acute}) and hit the calculate button. Here is how the Inner Diagonal of Concave Quadrilateral calculation can be explained with given input values -> 4.186702 = sqrt(5^2+2^2-(2*5*2*cos(0.959931088596701))).

FAQ

What is Inner Diagonal of Concave Quadrilateral?

The Inner Diagonal of Concave Quadrilateral formula is defined as the length of the diagonal present inside the Concave Quadrilateral and is represented as d_Inner = sqrt(S_{Second Outer}^2+S_{Second Inner}^2-(2*S_{Second Outer}*S_{Second Inner}*cos(∠_{Third Acute}))) or 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))). 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 & Third Acute Angle of Concave Quadrilateral is the angle formed between both the outer sides of the Concave Quadrilateral.

How to calculate Inner Diagonal of Concave Quadrilateral?

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