Area of a rectangle
Formula: a * b = A (area)
Example calculation: 10cm * 3cm = 30cm2
Area of a square
Formula: a * a = A (area)
Example calculation: 5cm * 5cm = 25cm2
Area of a triangle
Formula: (a * h) / 2 = A (area)
Example calculation: (3cm * 5cm) / 2 = 7.5cm2
Area of a trapezoid
Formula: ((a c) * h) / 2 = A (area)
Example calculation: ((5cm 3cm) * 7cm) / 2 = 28cm2
Area of a parallelogram
Formula: a * ha = b * hb = A (area)
Example calculation: 5cm * 7cm = 35cm2
Area of a rhombus
Formula: a * ha = A (area)
Example calculation: 5cm * 7cm = 35cm2
Area of a deltoid
Formula: (e * f) / 2 = A (area)
Example calculation: (3cm * 5cm) / 2 = 7.5cm2
Area of a circle
Formula: Π * r2 = A (area)
Π = 3.141592
Only 6 decimal places are displayed for Pi here.
Example calculation: Pi (Π) * 5cm2 = 78.54cm2
Calculating the area is a central aspect of mathematics, especially in geometry. The area is defined as the amount of space occupied by a two-dimensional shape or figure. The specific formula for calculating the area varies depending on the type of figure.
1. rectangle: The area of a rectangle is calculated by multiplying the length by the width (A = length * width).
2. square: As all sides of a square are the same length, the area can be calculated by squaring the length of one side (A = side²).
3. circle: The area of a circle is calculated by multiplying the square of the radius by pi (approximately 3.14159) (A = pi * radius²).
4th triangle: The area of a triangle is calculated by multiplying the base by the height and then dividing by 2 (A = 0.5 * base * height).
These calculations are fundamental to many mathematical, scientific, engineering and construction applications. It is important to note that these formulas only apply to flat, two-dimensional shapes. For three-dimensional shapes such as cylinders, cubes or pyramids, other formulas are used to calculate the volume.