Area is a measurement of the amount of space inside a two – dimensional figure. It is the size of a Surface.

The area of a shape can be measured by comparing the shape to squares of a fixed size. In mathematics, the unit square is defined to have area one, and the area of any other shape or surface is a dimensionless real number.

There are several well-known formulas for the areas of simple shapes such as triangles, rectangles, and circles. For a solid shape such as a sphere,cone, or cylinder, the area of its boundary surface is called the surface area.

Sometimes, finding area can be as simple as simply multiplying two numbers, but often times it can be more complicated.

The simplest (and most commonly used) area calculations are for squares and rectangles.

To find the area of a rectangle, multiply its height by its width.

Example: What is the area of this rectangle?

Area Count

The formula is:

Area = w × h
w = width
h = height

The width is 5, and the height is 3, so we know w = 5 and h = 3:

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Area = 5 × 3 = 15

While for a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area. This is the same as saying length2 or length square

Calculating Area

Area is measured in squares (or square units).

How many squares are in this rectangle?

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We can count the squares or we can take the length and width and use multiplication. The rectangle above has an area of 15 square units.

The area of a rectangle is = length x width

Examples of calculating the area of a rectangle

Units for measuring area

We measure area using squares. We use different sizes of squares depending on how big or small an area is.

Example Length of side on Squares Unit
Size of the nail on your thumb Millimeter mm2
Size of piece of paper Centimeter cm2
Size of a room Meter m2
Size of a town Kilometer

 

More Examples of Calculating Area

Area = Length x Width
Area = 9 mm x 4 mm = 36 mm2
Area = Length x Width
Area = 7 cm x 6 cm = 42 cm2
Area = Length x Width
Area = 8 m x 2 m = 16 m2
Area = Length x Width
Area = 7 km x 5 km = 35 km2

Area of a Square

The length and width of a square are the same so we just need to multiply the length by the length.

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Area = Length x Length
Area = 6 cm x 6 cm = 36 cm2

Area of a Circle

The area of a circle = πr2
where r is the radius of the circle and π is the ratio of a circle’s circumference to its diameter.

π (pronounced “pie” and often written “Pi”) is an infinite decimal with a common approximation of 3.14159.

Example of calculating the area of a circle

Area = πr2
Area = 3.14159 x (4 cm)2
Area = 3.14159 x 16 cm2
Area = 50.27 cm2
Answer rounded to 2 decimal place

We hope this write up helps, don’t forget to drop comment.

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