Area of Kite given Sides and Symmetry Angle Calculator

✖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 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 Symmetry Angle of Kite is the angle made by any pair of unequal sides of the Kite or any of the pair of equal angles which are on the two sides of the symmetry diagonal.ⓘ Symmetry Angle of Kite [∠_Symmetry]			+10% -10%

✖The Area of Kite is the total quantity of plane enclosed by the boundary of the Kite.ⓘ Area of Kite given Sides and Symmetry Angle [A]

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Area of Kite given Sides and Symmetry Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Kite = Long Side of Kite*Short Side of Kite*sin(Symmetry Angle of Kite)
A = S_Long*S_Short*sin(∠_Symmetry)
This formula uses 1 Functions, 4 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Area of Kite - (Measured in Square Meter) - The Area of Kite is the total quantity of plane enclosed by the boundary of the Kite.
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.
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.
Symmetry Angle of Kite - (Measured in Radian) - The Symmetry Angle of Kite is the angle made by any pair of unequal sides of the Kite or any of the pair of equal angles which are on the two sides of the symmetry diagonal.

STEP 1: Convert Input(s) to Base Unit

Long Side of Kite: 15 Meter --> 15 Meter No Conversion Required
Short Side of Kite: 13 Meter --> 13 Meter No Conversion Required
Symmetry Angle of Kite: 60 Degree --> 1.0471975511964 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = S_Long*S_Short*sin(∠_Symmetry) --> 15*13*sin(1.0471975511964)

Evaluating ... ...

A = 168.874953737946

STEP 3: Convert Result to Output's Unit

168.874953737946 Square Meter --> No Conversion Required

FINAL ANSWER

168.874953737946 ≈ 168.875 Square Meter <-- Area of Kite

(Calculation completed in 00.004 seconds)

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< Area of Kite Calculators

Area of Kite given Sides and Symmetry Angle

LaTeX Go Area of Kite = Long Side of Kite*Short Side of Kite*sin(Symmetry Angle of Kite)

Area of Kite

LaTeX Go Area of Kite = (Symmetry Diagonal of Kite*Non Symmetry Diagonal of Kite)/2

Area of Kite given Inradius

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

Area of Kite given Sides and Symmetry Angle Formula

LaTeX Go

Area of Kite = Long Side of Kite*Short Side of Kite*sin(Symmetry Angle of Kite)
A = S_Long*S_Short*sin(∠_Symmetry)

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 Area of Kite given Sides and Symmetry Angle?

Area of Kite given Sides and Symmetry Angle calculator uses Area of Kite = Long Side of Kite*Short Side of Kite*sin(Symmetry Angle of Kite) to calculate the Area of Kite, Area of Kite given Sides and Symmetry Angle formula is defined as the total quantity of plane enclosed by the boundary of the Kite, calculated using both sides and symmetry angle of the Kite. Area of Kite is denoted by A symbol.

How to calculate Area of Kite given Sides and Symmetry Angle using this online calculator? To use this online calculator for Area of Kite given Sides and Symmetry Angle, enter Long Side of Kite (S_Long), Short Side of Kite (S_Short) & Symmetry Angle of Kite (∠_Symmetry) and hit the calculate button. Here is how the Area of Kite given Sides and Symmetry Angle calculation can be explained with given input values -> 168.875 = 15*13*sin(1.0471975511964).

FAQ

What is Area of Kite given Sides and Symmetry Angle?

Area of Kite given Sides and Symmetry Angle formula is defined as the total quantity of plane enclosed by the boundary of the Kite, calculated using both sides and symmetry angle of the Kite and is represented as A = S_Long*S_Short*sin(∠_Symmetry) or Area of Kite = Long Side of Kite*Short Side of Kite*sin(Symmetry Angle 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, 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 Symmetry Angle of Kite is the angle made by any pair of unequal sides of the Kite or any of the pair of equal angles which are on the two sides of the symmetry diagonal.

How to calculate Area of Kite given Sides and Symmetry Angle?

Area of Kite given Sides and Symmetry Angle formula is defined as the total quantity of plane enclosed by the boundary of the Kite, calculated using both sides and symmetry angle of the Kite is calculated using Area of Kite = Long Side of Kite*Short Side of Kite*sin(Symmetry Angle of Kite). To calculate Area of Kite given Sides and Symmetry Angle, you need Long Side of Kite (S_Long), Short Side of Kite (S_Short) & Symmetry Angle of Kite (∠_Symmetry). With our tool, you need to enter the respective value for Long Side of Kite, Short Side of Kite & Symmetry Angle of Kite and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Area of Kite?

In this formula, Area of Kite uses Long Side of Kite, Short Side of Kite & Symmetry Angle of Kite. We can use 2 other way(s) to calculate the same, which is/are as follows -

Area of Kite = (Symmetry Diagonal of Kite*Non Symmetry Diagonal of Kite)/2
Area of Kite = (Inradius of Kite*Perimeter of Kite)/2

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