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:
area = (e * f) / 2 , where e and f are kite diagonals,
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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Convex and concave kites
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.