Smaller Angle of Kite Calculator

✖The Symmetry Diagonal Long Section of Kite is the length of the longer section of symmetry diagonal which has a vertex at the point where long pair of equal sides join.ⓘ Symmetry Diagonal Long Section of Kite [d_{Long Section}]			+10% -10%
✖The Long Side of Kite is the length of any side in the pair of equal sides of the Kite, which are relatively longer in length comparing to the other pair of sides.ⓘ Long Side of Kite [S_Long]			+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 Smaller Angle of Kite is the angle made by the longer pair of equal sides of the Kite.ⓘ Smaller Angle of Kite [∠_Small]

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Formula

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Smaller Angle of Kite

Formula

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

Example

`"106.2602°"=2*(arccos((("9m")^2+("15m")^2-("24m"/2)^2)/(2*"9m"*"15m")))`

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Smaller Angle of Kite Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
∠_Small = 2*(arccos((d_{Long Section}^2+S_Long^2-(d_{Non Symmetry}/2)^2)/(2*d_{Long Section}*S_Long)))
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

Smaller Angle of Kite - (Measured in Radian) - The Smaller Angle of Kite is the angle made by the longer pair of equal sides of the Kite.
Symmetry Diagonal Long Section of Kite - (Measured in Meter) - The Symmetry Diagonal Long Section of Kite is the length of the longer section of symmetry diagonal which has a vertex at the point where long pair of equal sides join.
Long Side of Kite - (Measured in Meter) - The Long Side of Kite is the length of any side in the pair of equal sides of the Kite, which are relatively longer 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 Long Section of Kite: 9 Meter --> 9 Meter No Conversion Required
Long Side of Kite: 15 Meter --> 15 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

∠_Small = 2*(arccos((d_{Long Section}^2+S_Long^2-(d_{Non Symmetry}/2)^2)/(2*d_{Long Section}*S_Long))) --> 2*(arccos((9^2+15^2-(24/2)^2)/(2*9*15)))

Evaluating ... ...

∠_Small = 1.85459043600322

STEP 3: Convert Result to Output's Unit

1.85459043600322 Radian -->106.260204708332 Degree (Check conversion here)

FINAL ANSWER

106.260204708332 ≈ 106.2602 Degree <-- Smaller Angle of Kite

(Calculation completed in 00.020 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

Smaller 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 Smaller Angle of Kite?

Smaller Angle of Kite calculator uses 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))) to calculate the Smaller Angle of Kite, The Smaller Angle of Kite formula is defined as the angle made by the longer pair of equal sides of the Kite. Smaller Angle of Kite is denoted by ∠_Small symbol.

How to calculate Smaller Angle of Kite using this online calculator? To use this online calculator for Smaller Angle of Kite, enter Symmetry Diagonal Long Section of Kite (d_{Long Section}), Long Side of Kite (S_Long) & Non Symmetry Diagonal of Kite (d_{Non Symmetry}) and hit the calculate button. Here is how the Smaller Angle of Kite calculation can be explained with given input values -> 6088.261 = 2*(arccos((9^2+15^2-(24/2)^2)/(2*9*15))).

FAQ

What is Smaller Angle of Kite?

The Smaller Angle of Kite formula is defined as the angle made by the longer pair of equal sides of the Kite and is represented as ∠_Small = 2*(arccos((d_{Long Section}^2+S_Long^2-(d_{Non Symmetry}/2)^2)/(2*d_{Long Section}*S_Long))) or 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))). The Symmetry Diagonal Long Section of Kite is the length of the longer section of symmetry diagonal which has a vertex at the point where long pair of equal sides join, The Long Side of Kite is the length of any side in the pair of equal sides of the Kite, which are relatively longer 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 Smaller Angle of Kite?

The Smaller Angle of Kite formula is defined as the angle made by the longer pair of equal sides of the Kite is calculated using 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))). To calculate Smaller Angle of Kite, you need Symmetry Diagonal Long Section of Kite (d_{Long Section}), Long Side of Kite (S_Long) & Non Symmetry Diagonal of Kite (d_{Non Symmetry}). With our tool, you need to enter the respective value for Symmetry Diagonal Long Section of Kite, Long 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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