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Concept of Area
Concept of Area Area is the measure of the "space inside" a shape. It tells us how much "stuff" is contained within that shape, and can be used to unders...
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Concept of Area Area is the measure of the "space inside" a shape. It tells us how much "stuff" is contained within that shape, and can be used to unders...
Area is the measure of the "space inside" a shape. It tells us how much "stuff" is contained within that shape, and can be used to understand things like the size of a room, the area of a book, or the amount of paint needed for a wall.
Key properties of area:
Area is always non-negative. This means that the area of a shape cannot be negative (it can't be less than 0).
The area of a rectangle is equal to the length times width. This means that the area of a rectangle with length 5 cm and width 3 cm is 15 cm².
The area of a circle is calculated using the formula πr², where r is the radius of the circle. This formula tells us that the area of a circle is π times the square of its radius.
The area of a triangle is half the product of its base and height. This means that the area of a triangle with base 5 cm and height 3 cm is 15 cm².
Measuring area:
There are two main ways to measure the area of a shape:
Using a ruler: Fold the shape in half along its longest dimension and then measure the length of the folded shape. The area is then equal to the length times width of the folded shape.
Using a formula: For shapes with simple shapes like rectangles and circles, we can use the formulas mentioned above to calculate the area.
Examples:
Area = length x width = 12 m x 8 m = 96 sq m
Area = πr² = π(0.03 m)² = 0.0094 sq m
Area = (1/2) x base x height = (1/2) x 5 cm x 3 cm = 7.5 sq cm