Smart Math Formula, A kite is a quadrilateral with two pairs of adjacent sides that are congruent. The diagonals of a kite are perpendicular.

Smart Diagonal Method : Area of Kite = ½ . d1 . d2

Smart Trigonometry Method : Area of Kite = a . b . Sin C

Perimeter of Kite = 2[a + b]

Note :

Smart Diagonal Method : Area of Kite = ½ . d1 . d2

Smart Trigonometry Method : Area of Kite = a . b . Sin C

Perimeter of Kite = 2[a + b]

Note :

*a = length, b = breadth, d1, d2 are diagonals*### Example

Question : Find the area of a kite with the given diagonals 2, 4 using Smart Diagonal Method.Answer : Find the area.

Area = ½ . d1 . d2 = 0.5 . 2 . 4 = 4.

Question : Find the area of a kite with the given length 2 and breadth 3 using Smart Trigonometry Method.

Answer : Find the area.

Area = a . b . Sin C = 2 . 3 . Sin(33) = 6 . 1 = 6.

Question : Find the perimeter of a kite with the given length 2 and breadth 3.

Answer : Find the perimeter.

Perimeter = 2[a + b] = 2.[2 + 3] = 2.[5] = 10.

That is example will clearly illustrates how to calculate the Area and Perimeter of a Kite Smart Math Formula.