Online Area of Kite Calculator
How to Use the ‘Area of Kite Calculator’?
Follow the steps below to use the area of kite calculator:
Enter any two known measures into the respective input box and the unknown measure will be calculated.
- Select the appropriate units for the input and output.
Click on the ‘Solve’ button to obtain the result.
Click on the ‘Show steps’ checkbox to know the stepwise solution to find the missing measure.
Click on the
button to enter new inputs and start again.Click on the ‘Example’ button to play with different random input values.
Click on the ‘Explore’ button to understand how the area of a kite is derived and the relation between the area of a rectangle and the kite.
When on the ‘Explore’ page, click on the ‘Calculate’ button if you want to go back to the calculator.
What is a Kite?
A kite is a quadrilateral with both pairs of adjacent sides congruent or of same length. The opposite interior angles of a kite are equal in measure. A kite is symmetric about its longer diagonal and the diagonals intersect each other at a right angle.
Formulas Used in ‘Area of Kite calculator’
The formula for area of kite,
\( A=\frac{1}{2}~\times~d_1~\times~d_2 \) square units.
From the above formula the formula for longer diagonal, d1 and shorter diagonal, d2 can be derived.
\( d_1=\frac{2A}{d_2} \) units
\( d_2=\frac{2A}{d_1} \) units
Solved Examples
Example 1: Emma was flying a kite in a park. Diagonals of the kite measured 25 inches and 20 inches. Calculate the area of the kite.
Solution:
Given: first diagonal, \( d_1=25~in \)
And the second diagonal, \( d_2=20~in \)
Use the formula for area of kite:
Area of kite,
\( A=\frac{1}{2}~\times~d_1~\times~d_2 \)
\( A=\frac{1}{2}~\times~25~\times~20 \)
\( A=250~in^2 \)
So, the area of the kite was 250 square inches.
Example 2: The top of the gift box is in the shape of kite. If the area of the top is 700 square millimeters and one of its diagonals is 35 millimeters. Find out the measure of the other diagonal.
Solution:
Given: Area of kite,\( A=700~mm^2\)
First Diagonal, \( d_1=35~mm\)
Area of kite, \( A=\frac{1}{2}~\times~d_1~\times~d_2 \)
Rearrange the formula for second diagonal \( d_2 \).
\( d_2=\frac{2A}{d_1} \)
\( d_2=\frac{2\times~700}{35} \)
\( d_2=40~mm \)
So, the measure of the other diagonal of the top of the box is 40 millimeters.
The angle sum property of a polygon is given as (n – 2) × 180 degrees. Where n is the number of sides.
Since a kite is a special quadrilateral which has four sides, that is, n = 4. By substituting the value, we get 360. So, the sum of all interior angles of a kite is 360 degrees.
In kite, two pairs of adjacent angles are congruent. On the other hand, in rhombus, all the sides are congruent. A rhombus is actually a special type of kite only.
A rhombus is actually a special type of kite only. So all rhombus are kites while not all kites are rhombuses.
A kite is symmetric about its longer diagonal. Hence a kite has only one line of symmetry.
The area of a kite is calculated by halving the product of its diagonal.