Obtuse Angle of Right Kite Calculator

✖Short Side of Right Kite is the length of the pair of edges of Right Kite, which are relatively smaller in length comparing to the other pair of edges.ⓘ Short Side of Right Kite [S_Short]			+10% -10%
✖Symmetry Diagonal of Right Kite is the diagonal which cut the Right Kite symmetrically into two equal halves.ⓘ Symmetry Diagonal of Right Kite [d_Symmetry]			+10% -10%
✖Long Side of Right Kite is the length of the pair of edges of Right Kite, which are relatively longer in length comparing to the other pair of edges.ⓘ Long Side of Right Kite [S_Long]			+10% -10%

✖Obtuse Angle of Right Kite is the angle made by the pair of short sides of the Right Kite.ⓘ Obtuse Angle of Right Kite [∠_Obtuse]

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Formula

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Obtuse Angle of Right Kite

Formula

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

Example

`"134.7603°"=2*arccos((("5m")^2+("13m")^2-("12m")^2)/(2*"5m"*"13m"))`

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Obtuse Angle of Right Kite Solution

STEP 0: Pre-Calculation Summary

Formula Used

Obtuse Angle of Right Kite = 2*arccos((Short Side of Right Kite^2+Symmetry Diagonal of Right Kite^2-Long Side of Right Kite^2)/(2*Short Side of Right Kite*Symmetry Diagonal of Right Kite))
∠_Obtuse = 2*arccos((S_Short^2+d_Symmetry^2-S_Long^2)/(2*S_Short*d_Symmetry))
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

Obtuse Angle of Right Kite - (Measured in Radian) - Obtuse Angle of Right Kite is the angle made by the pair of short sides of the Right Kite.
Short Side of Right Kite - (Measured in Meter) - Short Side of Right Kite is the length of the pair of edges of Right Kite, which are relatively smaller in length comparing to the other pair of edges.
Symmetry Diagonal of Right Kite - (Measured in Meter) - Symmetry Diagonal of Right Kite is the diagonal which cut the Right Kite symmetrically into two equal halves.
Long Side of Right Kite - (Measured in Meter) - Long Side of Right Kite is the length of the pair of edges of Right Kite, which are relatively longer in length comparing to the other pair of edges.

STEP 1: Convert Input(s) to Base Unit

Short Side of Right Kite: 5 Meter --> 5 Meter No Conversion Required
Symmetry Diagonal of Right Kite: 13 Meter --> 13 Meter No Conversion Required
Long Side of Right Kite: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠_Obtuse = 2*arccos((S_Short^2+d_Symmetry^2-S_Long^2)/(2*S_Short*d_Symmetry)) --> 2*arccos((5^2+13^2-12^2)/(2*5*13))

Evaluating ... ...

∠_Obtuse = 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 <-- Obtuse Angle of Right Kite

(Calculation completed in 00.007 seconds)

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St Joseph's College (SJC), Bengaluru

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< 2 Angles of Right Kite Calculators

Obtuse Angle of Right Kite

Go Obtuse Angle of Right Kite = 2*arccos((Short Side of Right Kite^2+Symmetry Diagonal of Right Kite^2-Long Side of Right Kite^2)/(2*Short Side of Right Kite*Symmetry Diagonal of Right Kite))

Acute Angle of Right Kite

Go Acute Angle of Right Kite = pi-Obtuse Angle of Right Kite

Obtuse Angle of Right Kite Formula

What is a Right Kite?

In Euclidean geometry, a Right Kite is a kite (a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other) that can be inscribed in a circle. That is, it is a kite with a circumcircle (i.e., a cyclic kite). Thus the Right Kite is a convex quadrilateral and has two opposite right angles.

How to Calculate Obtuse Angle of Right Kite?

Obtuse Angle of Right Kite calculator uses Obtuse Angle of Right Kite = 2*arccos((Short Side of Right Kite^2+Symmetry Diagonal of Right Kite^2-Long Side of Right Kite^2)/(2*Short Side of Right Kite*Symmetry Diagonal of Right Kite)) to calculate the Obtuse Angle of Right Kite, The Obtuse Angle of Right Kite formula is defined as the angle made by the pair of short sides of the Right Kite. Obtuse Angle of Right Kite is denoted by ∠_Obtuse symbol.

How to calculate Obtuse Angle of Right Kite using this online calculator? To use this online calculator for Obtuse Angle of Right Kite, enter Short Side of Right Kite (S_Short), Symmetry Diagonal of Right Kite (d_Symmetry) & Long Side of Right Kite (S_Long) and hit the calculate button. Here is how the Obtuse Angle of Right Kite calculation can be explained with given input values -> 7721.195 = 2*arccos((5^2+13^2-12^2)/(2*5*13)).

FAQ

What is Obtuse Angle of Right Kite?

The Obtuse Angle of Right Kite formula is defined as the angle made by the pair of short sides of the Right Kite and is represented as ∠_Obtuse = 2*arccos((S_Short^2+d_Symmetry^2-S_Long^2)/(2*S_Short*d_Symmetry)) or Obtuse Angle of Right Kite = 2*arccos((Short Side of Right Kite^2+Symmetry Diagonal of Right Kite^2-Long Side of Right Kite^2)/(2*Short Side of Right Kite*Symmetry Diagonal of Right Kite)). Short Side of Right Kite is the length of the pair of edges of Right Kite, which are relatively smaller in length comparing to the other pair of edges, Symmetry Diagonal of Right Kite is the diagonal which cut the Right Kite symmetrically into two equal halves & Long Side of Right Kite is the length of the pair of edges of Right Kite, which are relatively longer in length comparing to the other pair of edges.

How to calculate Obtuse Angle of Right Kite?

The Obtuse Angle of Right Kite formula is defined as the angle made by the pair of short sides of the Right Kite is calculated using Obtuse Angle of Right Kite = 2*arccos((Short Side of Right Kite^2+Symmetry Diagonal of Right Kite^2-Long Side of Right Kite^2)/(2*Short Side of Right Kite*Symmetry Diagonal of Right Kite)). To calculate Obtuse Angle of Right Kite, you need Short Side of Right Kite (S_Short), Symmetry Diagonal of Right Kite (d_Symmetry) & Long Side of Right Kite (S_Long). With our tool, you need to enter the respective value for Short Side of Right Kite, Symmetry Diagonal of Right Kite & Long Side of Right 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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