Area of 2D Shapes Formula Sheet
This sheet contains the formulas for calculating the area of various two-dimensional shapes.
Triangles
Area = (1/2) * base * height
Where:
- base is the length of the base of the triangle.
- height is the perpendicular distance from the base to the opposite vertex.
Squares
Area = side * side or Area = side²
Where:
- side is the length of one side of the square.
Rectangles
Area = length * width
Where:
- length is the length of the rectangle.
- width is the width of the rectangle.
Parallelograms
Area = base * height
Where:
- base is the length of any side of the parallelogram.
- height is the perpendicular distance from the base to the opposite side.
Trapezoids
Area = (1/2) * (base1 + base2) * height
Where:
- base1 and base2 are the lengths of the two parallel sides of the trapezoid.
- height is the perpendicular distance between the two parallel sides.
Circles
Area = π * radius²
Where:
- π (pi) is a mathematical constant approximately equal to 3.14159.
- radius is the distance from the center of the circle to any point on the circumference.
Other Shapes
Formulas for calculating the area of other shapes, such as rhombuses, kites, and regular polygons, can be found in various geometry textbooks or online resources.
Remember to use the appropriate units for the measurements when calculating the area. For example, if the measurements are in centimeters, the area will be in square centimeters (cm²).