VolumeSolver.com

Area Calculator

Our comprehensive area calculator helps you calculate the area of various geometric shapes. Choose a shape, enter the required dimensions, and get the area instantly with step-by-step explanations.

Select a Shape

Rectangle Area Calculator

Please enter valid positive numbers for all required fields.

Area Calculation Result:

Select a shape and enter dimensions, then click "Calculate Area"

Area Formulas

📐 Rectangle

Area = Length × Width

The area of a rectangle is calculated by multiplying its length by its width.

⬛ Square

Area = Side × Side = Side²

A square is a special type of rectangle where all sides are equal, so the area is the side length squared.

🔺 Triangle

Area = ½ × Base × Height

The area of a triangle is half the product of its base and height.

⭕ Circle

Area = π × Radius²

The area of a circle is π (approximately 3.14159) times the square of its radius.

🔷 Trapezoid

Area = ½ × (Base₁ + Base₂) × Height

The area of a trapezoid is the average of the two bases multiplied by the height.

🔶 Parallelogram

Area = Base × Height

The area of a parallelogram is the product of its base and height (the perpendicular distance between bases).

🥚 Ellipse

Area = π × Semi-major axis × Semi-minor axis

The area of an ellipse is π times the product of its semi-major and semi-minor axes.

🍕 Sector

Area = (Angle/360) × π × Radius²

The area of a circular sector is proportional to its angle, calculated as a fraction of the full circle's area.

Common Area Examples

🏠 Room Flooring

If a room is 12 feet long and 10 feet wide:

Area = 12 ft × 10 ft = 120 ft²

You would need 120 square feet of flooring to cover the room.

🌳 Circular Garden

If you have a circular garden with a radius of 8 feet:

Area = π × (8 ft)² ≈ 3.1416 × 64 ft² ≈ 201.06 ft²

The garden covers approximately 201 square feet.

🏀 Basketball Court

A standard NBA basketball court is 94 feet long and 50 feet wide:

Area = 94 ft × 50 ft = 4,700 ft²

The court covers 4,700 square feet.

📐 Triangular Plot

If a triangular plot of land has a base of 100 feet and height of 60 feet:

Area = ½ × 100 ft × 60 ft = 3,000 ft²

The plot covers 3,000 square feet.