Mastering the Basics: Formulas for Calculating Area of Common Shapes

area

The term “area” in mathematics refers to the measurement of the surface or space inside a two-dimensional figure

The term “area” in mathematics refers to the measurement of the surface or space inside a two-dimensional figure. It is typically expressed in square units, such as square meters (m²) or square inches (in²), depending on the system of measurement being used.

To calculate the area of various shapes, different formulas are applied. Here are some common formulas for finding the area of different figures:

1. Rectangle:
The area of a rectangle (A) is found by multiplying the length (l) by the width (w):
A = l * w

2. Square:
The area of a square (A) can be found by squaring the length of one of its sides (s):
A = s²

3. Triangle:
The area of a triangle (A) can be calculated using the formula:
A = (base * height) / 2

4. Circle:
The area of a circle (A) is given by multiplying the square of the radius (r) by the constant pi (π):
A = π * r²

5. Trapezoid:
The area of a trapezoid (A) can be found using the formula:
A = (base1 + base2) * height / 2

It is important to note that the units of measurement must be consistent throughout the calculations and final answer. Additionally, irregular shapes may require breaking them down into simpler shapes or using more advanced mathematical techniques to find their areas accurately.

Remember, these are just a few examples of how to calculate the area for common figures. Other shapes, such as parallelograms, polygons, or curvilinear figures, may have different formulas or require specific approaches for finding their areas.

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