Kite - Math Is Fun

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Math is Fun Kite

(Jump to Area of a kite or Perimeter of a kite)

A kite is a flat shape with four straight sides. It has two pairs of equal-length sides. Each pair of sides are adjacent (next to each other).

kite kite It often looks like a kite!
  • Two pairs of sides
  • Each pair is two equal-length sides that are adjacent (they meet)
  • The angles are equal where the two pairs meet
  • Diagonals (dashed lines) cross at right angles
  • One of the diagonals bisects (cuts equally in half) the other

Play with a Kite:

images/geom-quad.js?mode=kite

Area of a Kite

Method 1:

kite

Multiply the lengths of the diagonals and then divide by 2 to find the Area:

Area = p × q2

Example: A kite has diagonals of 3 cm and 5 cm, what is its Area?

Area = 3 cm × 5 cm2 = 7.5 cm2

Method 2:

kite side a, angle C. side b

Multiply the lengths of two unequal sides by the sine of the angle between them:

Area = a × b × sin(C)

kite area example

Example: You don't want to get wet measuring the diagonals of a kite-shaped swimming pool. So you measure unequal side lengths of 5.0 m and 6.5 m with an angle between them of 60°. What is its Area?

Area = a × b × sin(C)
= 5.0 × 6.5 × sin(60°)
= 5.0 × 6.5 × 0.866...
= 28.1 m2 (to 1 decimal)

Method 3:

If you can draw your kite, try the Area of Polygon by Drawing tool.

Perimeter of a Kite

The Perimeter is the distance around the edges.

kite perimeter

The Perimeter is 2 times (side length a + side length b):

Perimeter = 2(a + b)

Example: A kite has side lengths of 12 m and 10m, what is its Perimeter?

Perimeter = 2 × (12 m + 10 m) = 2 × 22 m = 44 m

Rhombus and Square

When all sides have equal length the kite will also be a Rhombus.

When all the angles are also 90° the kite will be a Square.

A Square is a kite? Yes! So it doesn't always look like the kite you fly.

dart A Dart

Dart

A concave kite is called a Dart

9141, 9142, 9143, 9144, 9145, 9146, 9147, 9148, 9149, 9150 Quadrilaterals Geometry Index Copyright © 2025 Rod Pierce

Tag » How To Solve A Kite