The area of the kite equals 20 x 15 x sin150°, which equals 300 x sin150°, or 150 square inches. For instance, say you have a kite with two sides that are 20 and 15 inches long, with an angle of 150° between them. To do this, use the formula A = a x b x sinC, where a and b are the lengths of the sides and C is the angle between them. If you don’t know the lengths of the diagonals, you can find the area of the kite using the lengths of two non-congruent sides (that is, two sides that are not of the same length) and the size of the angle between them. For example, if you have a kite with a diagonal of 7 inches and another diagonal of 10 inches, the area of the kite would equal (7 x 10)/2, or 35 square inches. If you know the lengths of these diagonals, you can plug them into the formula A (area) = xy/2, where x and y are the two diagonals. Now this is a project that can be taken to extremes, as Diane Hislop and her classes of fourth-grade students have found out over the yearsįinally, other polyhedral shapes are possible as well, as this photo of a design by Diana Ross and Roberto Trinchero showsĪnyone up for building an icosahedral kite? Share photos of your FMOs (Flying Mathematical Objects) in the comments below - and may the wind be always in your sails.You can easily find the area of a kite if you know the lengths of the diagonals, or the two lines that connect each of the adjacent vertices (corners) of the kite. Jeff Duntemann gives very complete directions for building a lovely tetrahedral kite. Because of this symmetry, a kite has two equal angles and two pairs of adjacent equal-length sides. Turning to more complicated kite designs, here are a few more you might want to try. In Euclidean geometry, a kite is a quadrilateral with reflection symmetry across a diagonal. Showcasing amazing maker projects of 2022įirst off, did you know that the very word “kite” has its own specific mathematical meaning? A kite is any quadrilateral with two pairs of equal adjacent edges. So, while not every mathematical kite can form a physical kite that will actually fly, any time you make a classic diamond kite, you are exploring the properties of the mathematical kite shape. (Ironically, the word “diamond” is generally taken to mean “rhombus” mathematically, so while all diamonds are (math) kites, almost no (flying) kites are in fact diamonds.) Bonus points for making a Penrose kite-shaped kite. Gift the gift of Make: Magazine this holiday season! Subscribe to the premier DIY magazine todayĬommunity access, print, and digital Magazine, and more Share a cool tool or product with the community.įind a special something for the makers in your life. Skill builder, project tutorials, and more Get hands-on with kits, books, and more from the Maker Shed Initiatives for the next generation of makers.
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