Area Calculator

Professional area calculator for all common geometric shapes

Square Area

0 Square Units
Formula: side²
Side Length: 0 units
Perimeter: 0 units

Rectangle Area

0 Square Units
Formula: length × width
Length: 0 units
Width: 0 units
Perimeter: 0 units

Circle Area

0 Square Units
Formula: π × radius²
Radius: 0 units
Diameter: 0 units
Circumference: 0 units

Triangle Area

0 Square Units
Formula: ½ × base × height
Base: 0 units
Height: 0 units

Trapezoid Area

0 Square Units
Formula: ½ × (base₁ + base₂) × height
Base 1: 0 units
Base 2: 0 units
Height: 0 units

Ellipse Area

0 Square Units
Formula: π × a × b
Semi-major Axis: 0 units
Semi-minor Axis: 0 units

How to Use the Area Calculator

Our comprehensive area calculator helps you calculate the area of six common geometric shapes with precision and ease:

🔲 Square Area

Calculate the area of a square by entering the side length. Formula: Area = side². Also displays perimeter for additional reference. Perfect for calculating floor space, garden plots, or any square-shaped areas.

📐 Rectangle Area

Find the area of a rectangle by entering length and width. Formula: Area = length × width. Includes perimeter calculation. Ideal for rooms, plots of land, or rectangular surfaces.

🔵 Circle Area

Calculate circular area using the radius. Formula: Area = π × radius². Also shows diameter and circumference. Essential for calculating areas of circular gardens, pools, or any round surfaces.

🔺 Triangle Area

Determine triangle area with base and height measurements. Formula: Area = ½ × base × height. Perfect for triangular plots, roofs, or any three-sided areas.

⬜ Trapezoid Area

Calculate trapezoid area using two parallel bases and height. Formula: Area = ½ × (base₁ + base₂) × height. Useful for irregular plots and trapezoidal surfaces.

🥚 Ellipse Area

Find elliptical area with semi-major and semi-minor axes. Formula: Area = π × a × b. Perfect for oval-shaped areas, gardens, or elliptical surfaces.

All calculations provide detailed breakdowns including formulas and additional measurements for comprehensive geometric analysis.

Frequently Asked Questions

What units does the area calculator use?
The calculator accepts any unit of measurement (inches, feet, meters, etc.). The result will be in square units of the same measurement. For example, if you enter measurements in feet, the area result will be in square feet.
How accurate are the area calculations?
Our calculator uses standard geometric formulas with high precision. Results are calculated to several decimal places and rounded appropriately. For π calculations (circles and ellipses), we use the full precision of JavaScript's Math.PI constant.
Can I calculate irregular shape areas?
This calculator handles regular geometric shapes. For irregular shapes, try breaking them down into smaller regular shapes (rectangles, triangles, etc.) and calculate each area separately, then add them together.
What's the difference between radius and diameter?
Radius is the distance from the center of a circle to its edge. Diameter is the distance across the entire circle, passing through the center. Diameter = 2 × radius. Our calculator uses radius for input but also displays the diameter.
How do I measure the height of a triangle?
Triangle height is the perpendicular distance from the base to the opposite vertex (top point). It forms a 90-degree angle with the base. This is different from the slant height of the triangle sides.