Larger Angle of Kite Calculator

✖The Symmetry Diagonal Short Section of Kite is the length of the shorter section of symmetry diagonal which has a vertex at the point where short pair of equal sides join.ⓘ Symmetry Diagonal Short Section of Kite [d_{Short Section}]			+10% -10%
✖The Short Side of Kite is the length of any side in the pair of equal sides of the Kite, which are relatively shorter in length comparing to the other pair of sides.ⓘ Short Side of Kite [S_Short]			+10% -10%
✖The Non Symmetry Diagonal of Kite is the diagonal which do not necessarily cut the Kite into equal halves.ⓘ Non Symmetry Diagonal of Kite [d_{Non Symmetry}]			+10% -10%

✖The Larger Angle of Kite is the angle made by the shorter pair of equal sides of the Kite.ⓘ Larger Angle of Kite [∠_Large]

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Formula

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Larger Angle of Kite

Formula

`"∠"_{"Large"} = 2*(arccos(("d"_{"Short Section"}^2+"S"_{"Short"}^2-("d"_{"Non Symmetry"}/2)^2)/(2*"d"_{"Short Section"}*"S"_{"Short"})))`

Example

`"134.7603°"=2*(arccos((("5m")^2+("13m")^2-("24m"/2)^2)/(2*"5m"*"13m")))`

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Larger Angle of Kite Solution

STEP 0: Pre-Calculation Summary

Formula Used

Larger Angle of Kite = 2*(arccos((Symmetry Diagonal Short Section of Kite^2+Short Side of Kite^2-(Non Symmetry Diagonal of Kite/2)^2)/(2*Symmetry Diagonal Short Section of Kite*Short Side of Kite)))
∠_Large = 2*(arccos((d_{Short Section}^2+S_Short^2-(d_{Non Symmetry}/2)^2)/(2*d_{Short Section}*S_Short)))
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)
arccos - Arccosine function, is the inverse function of the cosine function.It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio., arccos(Number)

Variables Used

Larger Angle of Kite - (Measured in Radian) - The Larger Angle of Kite is the angle made by the shorter pair of equal sides of the Kite.
Symmetry Diagonal Short Section of Kite - (Measured in Meter) - The Symmetry Diagonal Short Section of Kite is the length of the shorter section of symmetry diagonal which has a vertex at the point where short pair of equal sides join.
Short Side of Kite - (Measured in Meter) - The Short Side of Kite is the length of any side in the pair of equal sides of the Kite, which are relatively shorter in length comparing to the other pair of sides.
Non Symmetry Diagonal of Kite - (Measured in Meter) - The Non Symmetry Diagonal of Kite is the diagonal which do not necessarily cut the Kite into equal halves.

STEP 1: Convert Input(s) to Base Unit

Symmetry Diagonal Short Section of Kite: 5 Meter --> 5 Meter No Conversion Required
Short Side of Kite: 13 Meter --> 13 Meter No Conversion Required
Non Symmetry Diagonal of Kite: 24 Meter --> 24 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠_Large = 2*(arccos((d_{Short Section}^2+S_Short^2-(d_{Non Symmetry}/2)^2)/(2*d_{Short Section}*S_Short))) --> 2*(arccos((5^2+13^2-(24/2)^2)/(2*5*13)))

Evaluating ... ...

∠_Large = 2.35201041419027

STEP 3: Convert Result to Output's Unit

2.35201041419027 Radian -->134.760270103944 Degree (Check conversion here)

FINAL ANSWER

134.760270103944 ≈ 134.7603 Degree <-- Larger Angle of Kite

(Calculation completed in 00.004 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Walchand College of Engineering (WCE), Sangli

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< 3 Angles of Kite Calculators

Larger Angle of Kite

Go Larger Angle of Kite = 2*(arccos((Symmetry Diagonal Short Section of Kite^2+Short Side of Kite^2-(Non Symmetry Diagonal of Kite/2)^2)/(2*Symmetry Diagonal Short Section of Kite*Short Side of Kite)))

Smaller Angle of Kite

Go Smaller Angle of Kite = 2*(arccos((Symmetry Diagonal Long Section of Kite^2+Long Side of Kite^2-(Non Symmetry Diagonal of Kite/2)^2)/(2*Symmetry Diagonal Long Section of Kite*Long Side of Kite)))

Symmetry Angle of Kite

Go Symmetry Angle of Kite = ((2*pi)-Larger Angle of Kite-Smaller Angle of Kite)/2

Larger Angle of Kite Formula

What is a Kite?

In Euclidean geometry, a Kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other. In contrast, a parallelogram also has two pairs of equal-length sides, but they are opposite to each other instead of being adjacent.

How to Calculate Larger Angle of Kite?

Larger Angle of Kite calculator uses Larger Angle of Kite = 2*(arccos((Symmetry Diagonal Short Section of Kite^2+Short Side of Kite^2-(Non Symmetry Diagonal of Kite/2)^2)/(2*Symmetry Diagonal Short Section of Kite*Short Side of Kite))) to calculate the Larger Angle of Kite, The Larger Angle of Kite formula is defined as the angle made by the shorter pair of equal sides of the Kite. Larger Angle of Kite is denoted by ∠_Large symbol.

How to calculate Larger Angle of Kite using this online calculator? To use this online calculator for Larger Angle of Kite, enter Symmetry Diagonal Short Section of Kite (d_{Short Section}), Short Side of Kite (S_Short) & Non Symmetry Diagonal of Kite (d_{Non Symmetry}) and hit the calculate button. Here is how the Larger Angle of Kite calculation can be explained with given input values -> 7721.195 = 2*(arccos((5^2+13^2-(24/2)^2)/(2*5*13))).

FAQ

What is Larger Angle of Kite?

The Larger Angle of Kite formula is defined as the angle made by the shorter pair of equal sides of the Kite and is represented as ∠_Large = 2*(arccos((d_{Short Section}^2+S_Short^2-(d_{Non Symmetry}/2)^2)/(2*d_{Short Section}*S_Short))) or Larger Angle of Kite = 2*(arccos((Symmetry Diagonal Short Section of Kite^2+Short Side of Kite^2-(Non Symmetry Diagonal of Kite/2)^2)/(2*Symmetry Diagonal Short Section of Kite*Short Side of Kite))). The Symmetry Diagonal Short Section of Kite is the length of the shorter section of symmetry diagonal which has a vertex at the point where short pair of equal sides join, The Short Side of Kite is the length of any side in the pair of equal sides of the Kite, which are relatively shorter in length comparing to the other pair of sides & The Non Symmetry Diagonal of Kite is the diagonal which do not necessarily cut the Kite into equal halves.

How to calculate Larger Angle of Kite?

The Larger Angle of Kite formula is defined as the angle made by the shorter pair of equal sides of the Kite is calculated using Larger Angle of Kite = 2*(arccos((Symmetry Diagonal Short Section of Kite^2+Short Side of Kite^2-(Non Symmetry Diagonal of Kite/2)^2)/(2*Symmetry Diagonal Short Section of Kite*Short Side of Kite))). To calculate Larger Angle of Kite, you need Symmetry Diagonal Short Section of Kite (d_{Short Section}), Short Side of Kite (S_Short) & Non Symmetry Diagonal of Kite (d_{Non Symmetry}). With our tool, you need to enter the respective value for Symmetry Diagonal Short Section of Kite, Short Side of Kite & Non Symmetry Diagonal of Kite 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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