Kite area formula

Kite is a quadrilateral with two pairs of equal-length sides, adjacent to each other. Kite is a symmetric shape and its diagonals are perpendicular. There are two basic kite area formulas, which can be used depending on which information you have:

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If you know two diagonals, you can calculate the area of a kite as:

area = (e * f) / 2 , where e and f are kite diagonals,

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If you know two non-congruent side lengths and the size of the angle between those two sides, use the formula:

area = a * b * sin(α), where α is the angle between sides a and b.

You are watching: Formula to find the area of a kite

Did you notice that it's a doubled formula for the triangle area, knowing side-angle-side? Yes, that's right! Kite is a symmetric quadrilateral and can be treated as two congruent triangles that are mirror images of each other.


How to find the area of the kite? How about kite perimeter?

Let's imagine we want to make a simple, traditional kite. How much paper/foil do we need? And if we're going to make an edging from a ribbon, what length is required?

Think for a while and choose the formula which meets your needs. Assume we found two sticks in the forest, let's use it for our kite!Enter the diagonals of the kite. The ones we have are 12 and 22 inches long.Area of a kite appears below. It's 132 in².

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Calculation of the kite perimeter is a bit tricky in that case. Let's have a look:

Assume you've chosen the final kite shape - you've decided where the diagonals intersect each other. For example, the shorter one will be split in the middle (6 in : 6 in) and the longer one in 8:14 ratio, as shown in the picture.Here you go! As we know both sides, we can calculate the perimeter. Type the a and b sides. The result for our case is 50.46 in. So buy a little bit more ribbon than that, for example 55 inches to make the edging.

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Convex and concave kites

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The kite can be convex - it's the typical shape we associate with the kite - or concave, such kites are sometimes called a dart or arrowhead. The area is calculated in the same way, but you need to remember that one diagonal is now "outside" the kite. The kite area calculator will work properly also for the concave kites.