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Smaller Angle of Kite Formula

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The Smaller Angle of Kite is the angle made by the longer pair of equal sides of the Kite. Check FAQs

∠ Small = 2 \cdot (\arccos (\frac{{d Long Section}^{2} + {S Long}^{2} - {(\frac{d Non Symmetry}{2})}^{2}}{2 \cdot d Long Section \cdot S Long}))

∠_Small - Smaller Angle of Kite?d_{Long Section} - Symmetry Diagonal Long Section of Kite?S_Long - Long Side of Kite?d_{Non Symmetry} - Non Symmetry Diagonal of Kite?

Smaller Angle of Kite Example

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Here is how the Smaller Angle of Kite equation looks like with Values.

Here is how the Smaller Angle of Kite equation looks like with Units.

Here is how the Smaller Angle of Kite equation looks like.

106.2602 = 2 \cdot (\arccos (\frac{9^{2} + 15^{2} - {(\frac{24}{2})}^{2}}{2 \cdot 9 \cdot 15}))

106.2602° = 2 \cdot (\arccos (\frac{{9m}^{2} + {15m}^{2} - {(\frac{24m}{2})}^{2}}{2 \cdot 9m \cdot 15m}))

106.2602 = 2 \cdot (\arccos (\frac{9^{2} + 15^{2} - {(\frac{24}{2})}^{2}}{2 \cdot 9 \cdot 15}))

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Smaller Angle of Kite Solution

Follow our step by step solution on how to calculate Smaller Angle of Kite?

FIRST Step Consider the formula

∠ Small = 2 \cdot (\arccos (\frac{{d Long Section}^{2} + {S Long}^{2} - {(\frac{d Non Symmetry}{2})}^{2}}{2 \cdot d Long Section \cdot S Long}))

Next Step Substitute values of Variables

∴

∠ Small = 2 \cdot (\arccos (\frac{{9m}^{2} + {15m}^{2} - {(\frac{24m}{2})}^{2}}{2 \cdot 9m \cdot 15m}))

Next Step Prepare to Evaluate

∴

∠ Small = 2 \cdot (\arccos (\frac{9^{2} + 15^{2} - {(\frac{24}{2})}^{2}}{2 \cdot 9 \cdot 15}))

Next Step Evaluate

∴

∠ Small = 1.85459043600322rad

Next Step Convert to Output's Unit

∴

∠ Small = 106.260204708332°

LAST Step Rounding Answer

∴

∠ Small = 106.2602°

Smaller Angle of Kite Formula Elements

Variables

Functions

Smaller Angle of Kite

The Smaller Angle of Kite is the angle made by the longer pair of equal sides of the Kite.

Symbol: ∠_Small

Measurement: AngleUnit: °

Note: Value should be between 0 to 180.

Formulas to find Smaller Angle of Kite

Symmetry Diagonal Long Section 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.

Symbol: d_{Long Section}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Symmetry Diagonal Long Section of Kite

Long Side of Kite

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.

Symbol: S_Long

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Side of Kite

Non Symmetry Diagonal of Kite

The Non Symmetry Diagonal of Kite is the diagonal which do not necessarily cut the Kite into equal halves.

Symbol: d_{Non Symmetry}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Non Symmetry Diagonal of Kite

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: 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.

Syntax: arccos(Number)

Other formulas in Angles of Kite category

Go Larger Angle of Kite

∠ Large = 2 \cdot (\arccos (\frac{{d Short Section}^{2} + {S Short}^{2} - {(\frac{d Non Symmetry}{2})}^{2}}{2 \cdot d Short Section \cdot S Short}))

Go Symmetry Angle of Kite

∠ Symmetry = \frac{(2 \cdot π) - ∠ Large - ∠ Small}{2}

How to Evaluate Smaller Angle of Kite?

Smaller Angle of Kite evaluator 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 evaluate 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 evaluate Smaller Angle of Kite using this online evaluator? To use this online evaluator 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.

FAQs on Smaller Angle of Kite

What is the formula to find Smaller Angle of Kite?

The formula of Smaller Angle of Kite is expressed as 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))). Here is an example- 6088.261 = 2*(arccos((9^2+15^2-(24/2)^2)/(2*9*15))).

How to calculate Smaller Angle of Kite?

With Symmetry Diagonal Long Section of Kite (d_{Long Section}), Long Side of Kite (S_Long) & Non Symmetry Diagonal of Kite (d_{Non Symmetry}) we can find Smaller Angle of Kite using the formula - 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))). This formula also uses Cosine, Inverse Cosine function(s).

Can the Smaller Angle of Kite be negative?

No, the Smaller Angle of Kite, measured in Angle cannot be negative.

Which unit is used to measure Smaller Angle of Kite?

Smaller Angle of Kite is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Smaller Angle of Kite can be measured.

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Smaller Angle of Kite Formula

Smaller Angle of Kite Example

Smaller Angle of Kite Solution

Smaller Angle of Kite Formula Elements

Other formulas in Angles of Kite category

How to Evaluate Smaller Angle of Kite?

FAQs on Smaller Angle of Kite

Variable Name