M is the point at which the diagonals intersect. Thus, the total area of all 3 notecards is 127.5 in 2. Since we have 3 identical notecards, we can simply multiply this area by 3 to find their total area. Thus, the area of each kite is 42.5 in 2. The area formula of a kite happens to follow the same idea as the area of a rhombus. Using the area formula for a kite, the area of one notecard is. The area of a triangle is the product of its base and height multiplied by half, that is, Writing this as an expression, we haveĪrea of kite ABCD = Area of ΔABD + Area of ΔBCD 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. For a shape to be a quadrangle (or quadrilateral), it must follow a few rules. A kite has one pair of equal opposite angles that are obtuse. The words quadrangle and quadrilateral can both be used to describe the same shapes. Now we have an explicit recipe for finding the area of a kite. A kite has two pairs of equal adjacent sides. Understand which quadrilateral is a kite and how to calculate its area and perimeter of a kite. We are now ready to learn more about the area of a Kite. Learn the definition of a kite in geometry, kite's shape, and properties. 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 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. The structure of a kite satisfies the characteristics of a cyclic quadrilateral.
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