Area of a Kite

Area of a kite is given as half of the product of the diagonals which is same as that of a rhombus. Area of a kite can be expressed by the formula: Area of Kite = $$\frac{1}{2}D_{1}D_{2}$$. The formula to determine the area of a kite is: Area = $$\dfrac{1}{2}\times d_1 \times d_2$$ The area of kite ABCD given below is $$\dfrac{1}{2}\times AC \times BD$$.

You will get to learn about the interesting concepts related to the definition of a kite, finnd properties, and the area of a kite. A closed figure made with 4 line segments forms the shape of a kite. You can observe the shape of a kite in the kites flown by kids in the sky, and an Indian dessert - Kaju Katli.

A kite is a quadrilateral in hoa two pairs of adjacent sides are equal. The elements of a kite are its 4 anglesits 4 sides, and 2 diagonals. We know that the longer diagonal of a kite bisects the shorter diagonal at right angles, i.

The area of a kite is calculated by plugging in the lengths of its diagonals into the formula of the area of the kite. Enter the lengths of the diagonals of a kite and hit the 'Calculate' button to determine its area. Determine the area of the top of the box if the diagonals of the lid of the hoow are 9 in and 12 in. Here are a few activities for you to practice. We hope you enjoyed learning about the area of a kite with the simulations and interactive questions.

Now, you will be able to easily solve problems in the area of a kite and its properties in math. At Cuemathour team of math experts is dedicated to making learning fun for our favorite readers, the students! Through an interactive and engaging learning-teaching-learning approach, the teachers explore all angles of a topic. The length of the other diagonal can be found by substituting the length of the first diagonal into the area of a kite formula if area is known.

Area of a kite. Go back to 'Area'. Book a Free Class. In this mini-lesson, we will explore the world of kites. We will explore everything about kites, which are commonly seen around us.

So let's get started! Lesson Plan 1. What Is the Area of a Kite? Important Notes on Area of a Kite 3. Solved Examples on Area of a Kite 4. Challenging Questions on Area of a Kite 3. Interactive Questions on Area of a Kite. Important Notes. Challenging Questions. Let's Summarize We hope you what causes your heart to race while sleeping learning about the area of a kite with the simulations and interactive questions.

About Cuemath At Cuemathour team of math experts is dedicated to making learning fun for our favorite readers, the students! How to find the area of a kite? How to find the diagonals of a kite? The fformula of one diagonal of a kite can be found using the Pythagorean theorem. More Important Topics. Related Sections. Area of a Regular Polygon. Area of Triangle. Area of Sphere. Area of Rhombus. Area of Parallelogram. Area of a sector.

Area of Semicircle. Area of Quadrilateral. Area of Rectangle. Area of Fimd. Example 1. Example 2.

Kite Area Formula

If we know the side lengths and angle between unequal sides, we can use trigonometry to find area of a kite. The formula for this is given as: A = absin(c) Where a is the length of the short side, b is the length of the long side, and c is the internal angle between those two sides. You calculate the area of a kite by using the lengths of its diagonals. Here’s an example: what’s the area of kite KITE in the following figure? For kite area problems (and sometimes other quadrilateral problems), the diagonals are almost always necessary for the solution (because they form right triangles). d1 is the length of a diagonal d2 is the length of the other diagonal This also works for finding the area of a rhombus, and the area of a square since a rhombus is a particular kind of kite (one where all four sides are congruent) and a square is a particular kind of rhombus (where all angles are 90°). 2.

A kite is a four-sided shape with straight sides that has two pairs of sides. Each pair of adjacent sides are equal in length. A square is also considered a kite. Two congruent equilateral triangles with sides of length are connected so that they share a side.

Each triangle has a height of. Express the area of the shape in terms of. The shape being described is a rhombus with side lengths 1. Since they are equilateral triangles connected by one side, that side becomes the lesser diagonal, so.

The greater diagonal is twice the height of the equaliteral triangles,. Find the area of a kite if the diagonal dimensions are and. The area of the kite is given below. The FOIL method will need to be used to simplify the binomial. The diagonal lengths of a kite are and.

What is the area? Find the area of a kite if the length of the diagonals are and. The diagonals of a kite are and. Find the area. We are given the length of these diagonals in the problem, so we can substitute them into the formula and solve for the area:. Express the kite's area in simplified form. Multiply the parenthetical elements together by distributing the :. You can consider the outermost fraction with in the denominator as multiplying everything in the numerator by :.

Change the added to to create a common denominator and add the fractions to arrive at the correct answer:. If the diagonals of a kite are and , express the area in simplified form. Distribute the :. You can consider the outermost division by as multiplying everything in the numerator by :. Find the area of a kite if one diagonal is long, and the other diagonal is long.

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Possible Answers:. Correct answer:. Explanation : A kite is a four-sided shape with straight sides that has two pairs of sides. Report an Error. What is the area of the following kite? Explanation : The formula for the area of a kite: , where represents the length of one diagonal and represents the length of the other diagonal.

Plugging in our values, we get:. Explanation : The shape being described is a rhombus with side lengths 1. The area of a rhombus is half the product of the diagonals, so:. Explanation : The area of the kite is given below. Explanation : The area of a kite is given below. Substitute the given diagonals to find the area.

Explanation : Substitute the given diagonals into the area formula for kites. Solve and simplify. Explanation : The formula for the area for a kite is , where and are the lengths of the kite's two diagonals. Explanation : Write the formula for the area of a kite. Substitute the diagonals and reduce.

Multiply the parenthetical elements together by distributing the : You can consider the outermost fraction with in the denominator as multiplying everything in the numerator by : Change the added to to create a common denominator and add the fractions to arrive at the correct answer:. Explanation : Write the formula for the area of a kite: Substitute the given diagonals: Distribute the : Create a common denominator for the two fractions in the numerator: You can consider the outermost division by as multiplying everything in the numerator by : Multiply across to arrive at the correct answer:.

Explanation : The formula for the area of a kite is Plug in the values for each of the diagonals and solve. Copyright Notice.

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