Area Calculator

Calculate the area of common 2D shapes with formula display

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Area

About the Area Calculator

This area calculator supports seven common 2D shapes: square, rectangle, circle, triangle, trapezoid, parallelogram, and ellipse. Select a shape, enter the required dimensions, and choose your preferred unit to get the area in square units with the matching formula displayed.

The Formula

Square: A = s²
Rectangle: A = l × w
Circle: A = πr²
Triangle: A = ½ × b × h
Trapezoid: A = ½ × (a + b) × h
Parallelogram: A = b × h
Ellipse: A = πab

FAQs

What is the difference between area and perimeter?

Area measures the space inside a 2D shape in square units, while perimeter measures the distance around the outside of the shape in linear units.

Why is the area of a circle πr²?

The formula is derived by dividing a circle into many small triangles and rearranging them into a rectangle of width πr and height r. As the number of triangles approaches infinity, the area approaches πr².