Kite
(Jump to Area of a Kite or Perimeter of a Kite)
A Kite is a flat shape with straight sides.
It has two pairs of equal-length adjacent (next to each other) sides.
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 It often looks like a kite! |
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Two pairs of sides |
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Each pair is two equal-length sides that are adjacent (they meet) |
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The angles are equal where the two pairs meet |
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Diagonals (dashed lines) cross at
right angles, and one of the diagonals bisects (cuts equally in half) the other |
Play with a Kite:
Area of a Kite
Method 1:
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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:
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Multiply the lengths of two unequal sides by the sine of the angle between them: Area = a × b × sin(C) |
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.
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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.
A Dart
Dart
A concave Kite is called a Dart