Geometric Area Formula
The measurement of space enclosed by a closed geometric figure is called area. Also, it is a quantity that expresses the extent of a twodimensional figure or shape or planar lamina, in the plane. Geometric Area Formula is used to calculate the space enclosed by different geometric figures. The geometric area formulas are applicable to regular geometric figures having defined dimensions. The general geometric area formula is the product of two dimensions of a geometric figure and has units as square units.
What is Geometric Area Formula?
Different Geometric Area Formulas are used to calculate the area of different geometric figures. A few of the important geometric figures are square, rectangle, circle, triangle, trapezoid, ellipse.
Area of a Triangle = 1/2 × Base × Height
Area of Square = Side × Side = Side^{2}
Area of a Circle = πr^{2}
Area of Rectangle = Length × Breadth
Area of a Parallelogram = Base × Height
Area of a Quadrilateral = 1/2 × Diagonal_{1} × Diagonal_{2}
Area of a Trapezoid = 1/2 × Sum of Parallel Sides (a + b) × Height(h)
Area of Ellipse = π × Major axis(a) × Minor Axis(b)
Let us learn geometric area formulas for different shapes using the belowsolved examples.
Solved Examples Using Geometric Area Formula.

Example 1: What is the area of a rectangular park whose length and breadth are 60m and 90m respectively?
Solution:
To find: The area of a rectangular park.
Given:
Length of the park = 60m
Breadth of the park = 90m
Using Geometric Area Formula,
Area of Rectangle = (L× B)
= (60 × 90) m^{2 }
= 5400 m^{2}
Answer: The area of the rectangular park is 5400 m^{2}.

Example 2: What is the area of a circular park whose radius is 400m?
Solution:
To find: The area of a circular park.
Given:
Radius of the circular park = 400m
Using Geometric Area Formula,
Area of a Circle = πr^{2}
Area of a Circle = π 400^{2}
= 160000π m^{2}
Answer: The area of the circular park is 160000π m^{2}.