Calculate the area of squares, rectangles, circles, triangles, trapezoids, and parallelograms instantly.
This tool calculates the area of common 2D shapes โ including squares, rectangles, circles, triangles, and trapezoids โ based on their dimensions. It's useful for home improvement projects, land measurement, material estimation, and geometry homework.
Square: sideยฒ. Rectangle: length ร width. Circle: ฯ ร radiusยฒ. Triangle: ยฝ ร base ร height. Trapezoid: ยฝ ร (base1 + base2) ร height. Each shape uses its own formula based on its specific geometric properties.
Select your shape and enter its relevant dimensions, and the calculator returns the area in your chosen unit (square feet, square meters, acres, etc.).
Example: A rectangular room measuring 12 feet by 15 feet has an area of 12 ร 15 = 180 square feet.
Why do different shapes need different area formulas? Each shape distributes its two-dimensional space differently, so the formula must reflect that specific geometry โ a triangle's area formula includes the factor of ยฝ because a triangle occupies exactly half the area of a rectangle with the same base and height.
How do I calculate the area of an irregular shape? Break the irregular shape into a combination of standard shapes (rectangles, triangles, etc.), calculate each section's area separately, then add them together for the total.
What's the difference between area and perimeter? Area measures the two-dimensional space enclosed within a shape's boundaries (in square units), while perimeter measures the total distance around the outside edge of the shape (in linear units).
How is area used in real estate and construction? Area calculations determine material needs for flooring, paint, and landscaping, and are central to property listings, room sizing, and land measurement for buying, selling, or building.
Can area be negative? No, area always represents a physical amount of space and is expressed as a positive number (or zero for a shape with no size); negative results in a calculation typically indicate an input error.