A kite has a perimeter of 108 feet2/13/2024 ![]() M is the point at which the diagonals intersect. The area formula of a kite happens to follow the same idea as the area of a rhombus. The area of a triangle is the product of its base and height multiplied by half, that is, Solution: As we know, Perimeter (P) 2 (a + b), here a 9. ![]() Find the perimeter of a kite whose 2 adjacent sides are of lengths 9.3 cm and 17 cm. Writing this as an expression, we haveĪrea of kite ABCD = Area of ΔABD + Area of ΔBCD Let us solve an example to understand the concept better. The area of kite ABCD is made up of the sum of two areas: triangle ABD and triangle BCD. From the properties of a kite, both these diagonals are perpendicular (at right angles) and bisect each other. Again, let's turn our attention back to our previous kite, shown below.įor our kite ABCD above, let's call the length of the shorter diagonal \(AC=x\) and the length of the longer diagonal \(BD=y\). But how did it come about? This segment will discuss a step of step derivation of how this formula actually satisfies the area of a given kite. Now we have an explicit recipe for finding the area of a kite. We are now ready to learn more about the area of a Kite. ![]() It has one pair of equal opposite angles that are obtuseĭiagonals are perpendicular and bisect each other The following table is a list of its features. Let x feet be the length of another side. According to the definition, the kite has two sides of length 30 feet. One of the longer sides measures 30 feet. M is the point at which the diagonals intersect. Step-by-step explanation: A kite is a quadrilateral with two pairs of congruent adjacent sides. Let us now recall the fundamental properties of a kite. Here is a diagram of a kite within a circle.Įxample of a cyclic quadrilateral Properties of a Kite The circle that holds all four of these vertices on its circumference is called the circumcircle or circumscribed circle. It is sometimes referred to as an inscribed quadrilateral. A cyclic quadrilateral is a quadrilateral where all four of its vertices lie on a circle. Here are a few results of some other examples in the table section.The structure of a kite satisfies the characteristics of a cyclic quadrilateral. And, the diagonals of a kite are perpendicular. Perimeter of kite = 54 Some related examples Find the area and perimeter of the figure Area and Perimeter of Polygons Since the quadrilateral has 2 pairs of adjacent sides that are congruent, its a kite. Step 3: Put the values from “step 1” in the above formulas carefully. ![]() Step 2: Write the formula of the Area and Perimeter of a kite. How to calculate the area and perimeter of the kite?įind the area and perimeter of the kite if its larger length is 10 units and its smaller length is 7 units while the length of the side is 15 and 12. “ a” and “ b” are the adjacent lengths of the kite and “ C” is the angle between the diagonals.Kites have two pairs of equal-length adjacent sides. Diagonals intersect at right angles, and one diagonal bisects the other. It can be calculated using the formula: Area (diagonal1 diagonal2) / 2. d 1and d 2 are the length of the diagonal of a kite.Īrea of Kite Using Trigonometry = a × b × Sin(C) The area of a kite, a quadrilateral, is found by multiplying its diagonals and dividing the result by 2.The “ kite point” where the two diagonals intersect is the midpoint of the longer diagonal. The longer diagonal of a kite is called the " main diagonal (d 1) " while the shorter diagonal is called the " cross diagonal (d 2)". In the case of a kite, there are two diagonals, each connecting opposite vertices of the quadrilateral. In geometry, the diagonal is a line that connects two non-adjacent vertices of a polygon or quadrilateral. The two diagonals of a kite intersect at a point called the "kite point" which is the midpoint of the longer diagonal. Geometrical Explanation of KiteĪ kite is a quadrilateral shape from a geometric perspective, and it has two pairs of adjacent sides that are of equal length and two pairs of opposite angles that are likewise of equal length. it used the trigonometric formula to get the kite's area as well. Area of a Kite Calculator is an online tool that helps to quickly find the kite's area and perimeter.
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