Area Calculator | All Shapes | Free Online Tool | PanMaths
Calculate the area of any 2D shape—rectangles, triangles, circles, trapezoids, and more. Free tools with step-by-step solutions.
Square
A = s²Side length squared. Example: s=5 → A=25
Rectangle
A = l × wLength times width. Example: 8×5 = 40
Triangle
A = ½ × b × hHalf base times height. Example: ½×8×6 = 24
Circle
A = πr²Pi times radius squared. Example: π×4² ≈ 50.27
Trapezoid
A = ½(a + b) × hAverage of parallel bases times height.
Parallelogram
A = b × hBase times perpendicular height (not slant side!).
Examples
Living Room Floor (Rectangle)
Room is 15ft × 12ft. Area = 15 × 12 = 180 ft². Need 180 sq ft of flooring. = 180 ft²
Pizza (Circle)
12-inch pizza has radius 6 inches. A = π × 6² ≈ 113 sq inches. = ≈ 113 sq in
Sail (Triangle)
Sail with base 4m and height 6m. A = ½ × 4 × 6 = 12 m². = 12 m²
Frequently Asked Questions
What is area in math?
Area is the measure of space inside a 2D shape, expressed in square units. It tells you how much surface the shape covers—like how much paint you need for a wall or carpet for a floor.
What is the difference between area and perimeter?
Area measures the space INSIDE a shape (square units), while perimeter measures the distance AROUND the shape (linear units). Area fills the shape; perimeter traces its edge.
How do I calculate area of an irregular shape?
Break the shape into regular shapes (rectangles, triangles), calculate each area separately, then add them together. For curved shapes, use calculus or approximation methods.
Why is area in square units?
Because area represents a 2D measure—two dimensions multiplied together. Length × Width = square units. Just like volume (3D) uses cubic units.
What is the most efficient shape for area?
A circle has the maximum area for a given perimeter (isoperimetric property). Among rectangles with fixed perimeter, a square has the largest area.