Symmetry Diagonal of Half Square Kite Calculator

✖Square Side of Half Square Kite is the edge length of the square of which one corner is stretched or compressed to form the Half Square Kite.ⓘ Square Side of Half Square Kite [S_Square]			+10% -10%
✖Non Square Side of Half Square Kite is the length of the pair of edges of Half Square Kite which is not the edge of the Square from which the Half Square Kite is formed.ⓘ Non Square Side of Half Square Kite [S_{Non Square}]			+10% -10%
✖Symmetry Angle of Half Square Kite is the angle made by any pair of unequal edges of the Half Square Kite.ⓘ Symmetry Angle of Half Square Kite [∠_Symmetry]			+10% -10%

✖Symmetry Diagonal of Half Square Kite is the length of the diagonal of the Half Square Kite which cuts the shape symmetrically into two equal halves.ⓘ Symmetry Diagonal of Half Square Kite [d_Symmetry]

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Formula

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Symmetry Diagonal of Half Square Kite

Formula

`"d"_{"Symmetry"} = sqrt("S"_{"Square"}^2+"S"_{"Non Square"}^2-(2*"S"_{"Square"}*"S"_{"Non Square"}*cos("∠"_{"Symmetry"})))`

Example

`"12.93297m"=sqrt(("5m")^2+("10m")^2-(2*"5m"*"10m"*cos("115°")))`

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Symmetry Diagonal of Half Square Kite Solution

STEP 0: Pre-Calculation Summary

Formula Used

Symmetry Diagonal of Half Square Kite = sqrt(Square Side of Half Square Kite^2+Non Square Side of Half Square Kite^2-(2*Square Side of Half Square Kite*Non Square Side of Half Square Kite*cos(Symmetry Angle of Half Square Kite)))
d_Symmetry = sqrt(S_Square^2+S_{Non Square}^2-(2*S_Square*S_{Non Square}*cos(∠_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)
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

Symmetry Diagonal of Half Square Kite - (Measured in Meter) - Symmetry Diagonal of Half Square Kite is the length of the diagonal of the Half Square Kite which cuts the shape symmetrically into two equal halves.
Square Side of Half Square Kite - (Measured in Meter) - Square Side of Half Square Kite is the edge length of the square of which one corner is stretched or compressed to form the Half Square Kite.
Non Square Side of Half Square Kite - (Measured in Meter) - Non Square Side of Half Square Kite is the length of the pair of edges of Half Square Kite which is not the edge of the Square from which the Half Square Kite is formed.
Symmetry Angle of Half Square Kite - (Measured in Radian) - Symmetry Angle of Half Square Kite is the angle made by any pair of unequal edges of the Half Square Kite.

STEP 1: Convert Input(s) to Base Unit

Square Side of Half Square Kite: 5 Meter --> 5 Meter No Conversion Required
Non Square Side of Half Square Kite: 10 Meter --> 10 Meter No Conversion Required
Symmetry Angle of Half Square Kite: 115 Degree --> 2.0071286397931 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_Symmetry = sqrt(S_Square^2+S_{Non Square}^2-(2*S_Square*S_{Non Square}*cos(∠_Symmetry))) --> sqrt(5^2+10^2-(2*5*10*cos(2.0071286397931)))

Evaluating ... ...

d_Symmetry = 12.932974374599

STEP 3: Convert Result to Output's Unit

12.932974374599 Meter --> No Conversion Required

FINAL ANSWER

12.932974374599 ≈ 12.93297 Meter <-- Symmetry Diagonal of Half Square Kite

(Calculation completed in 00.020 seconds)

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Home » Math » Geometry » 2D Geometry » Kite » Half Square Kite » Radius and Diagonal of Half Square Kite » Symmetry Diagonal of Half Square Kite

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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 Radius and Diagonal of Half Square Kite Calculators

Symmetry Diagonal of Half Square Kite

Go Symmetry Diagonal of Half Square Kite = sqrt(Square Side of Half Square Kite^2+Non Square Side of Half Square Kite^2-(2*Square Side of Half Square Kite*Non Square Side of Half Square Kite*cos(Symmetry Angle of Half Square Kite)))

Inradius of Half Square Kite

Go Inradius of Half Square Kite = (2*Area of Half Square Kite)/Perimeter of Half Square Kite

Square Diagonal of Half Square Kite

Go Square Diagonal of Half Square Kite = Square Side of Half Square Kite*sqrt(2)

Symmetry Diagonal of Half Square Kite Formula

What is a Half Square Kite?

A Half Square Kite is a kite of which one of the angles joined by a pair of equal sides is right angle. Basically if we stretch or compress one corner of a square along the direction of the diagonal, then what we get is a Half Square Kite. This name is because the half part of the square still remain as a part of the kite.

How to Calculate Symmetry Diagonal of Half Square Kite?

Symmetry Diagonal of Half Square Kite calculator uses Symmetry Diagonal of Half Square Kite = sqrt(Square Side of Half Square Kite^2+Non Square Side of Half Square Kite^2-(2*Square Side of Half Square Kite*Non Square Side of Half Square Kite*cos(Symmetry Angle of Half Square Kite))) to calculate the Symmetry Diagonal of Half Square Kite, The Symmetry Diagonal of Half Square Kite formula is defined as the length of the diagonal of the Half Square Kite which cuts the shape symmetrically into two equal halves. Symmetry Diagonal of Half Square Kite is denoted by d_Symmetry symbol.

How to calculate Symmetry Diagonal of Half Square Kite using this online calculator? To use this online calculator for Symmetry Diagonal of Half Square Kite, enter Square Side of Half Square Kite (S_Square), Non Square Side of Half Square Kite (S_{Non Square}) & Symmetry Angle of Half Square Kite (∠_Symmetry) and hit the calculate button. Here is how the Symmetry Diagonal of Half Square Kite calculation can be explained with given input values -> 12.93297 = sqrt(5^2+10^2-(2*5*10*cos(2.0071286397931))).

FAQ

What is Symmetry Diagonal of Half Square Kite?

The Symmetry Diagonal of Half Square Kite formula is defined as the length of the diagonal of the Half Square Kite which cuts the shape symmetrically into two equal halves and is represented as d_Symmetry = sqrt(S_Square^2+S_{Non Square}^2-(2*S_Square*S_{Non Square}*cos(∠_Symmetry))) or Symmetry Diagonal of Half Square Kite = sqrt(Square Side of Half Square Kite^2+Non Square Side of Half Square Kite^2-(2*Square Side of Half Square Kite*Non Square Side of Half Square Kite*cos(Symmetry Angle of Half Square Kite))). Square Side of Half Square Kite is the edge length of the square of which one corner is stretched or compressed to form the Half Square Kite, Non Square Side of Half Square Kite is the length of the pair of edges of Half Square Kite which is not the edge of the Square from which the Half Square Kite is formed & Symmetry Angle of Half Square Kite is the angle made by any pair of unequal edges of the Half Square Kite.

How to calculate Symmetry Diagonal of Half Square Kite?

The Symmetry Diagonal of Half Square Kite formula is defined as the length of the diagonal of the Half Square Kite which cuts the shape symmetrically into two equal halves is calculated using Symmetry Diagonal of Half Square Kite = sqrt(Square Side of Half Square Kite^2+Non Square Side of Half Square Kite^2-(2*Square Side of Half Square Kite*Non Square Side of Half Square Kite*cos(Symmetry Angle of Half Square Kite))). To calculate Symmetry Diagonal of Half Square Kite, you need Square Side of Half Square Kite (S_Square), Non Square Side of Half Square Kite (S_{Non Square}) & Symmetry Angle of Half Square Kite (∠_Symmetry). With our tool, you need to enter the respective value for Square Side of Half Square Kite, Non Square Side of Half Square Kite & Symmetry Angle of Half Square 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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