Free Online Calculators
Area for 6 geometric shapes: triangle, trapezoid, circle & more
This area calculator instantly computes the area of six geometric shapes: square, rectangle, triangle, trapezoid, circle, and ellipse. Simply select the shape, enter your measurements, and get the result right away. Each calculation uses the standard geometric formula for that shape.
Measure each part of the space in feet, multiply length by width for every rectangular section, then add the section results together. For irregular shapes, split the floor plan into simple rectangles and triangles first and sum their areas.
Area is found by applying the formula for the shape: length times width for a rectangle, side squared for a square, base times height divided by two for a triangle, and pi times the radius squared for a circle. Both measurements must be in the same unit, and the result carries that unit squared.
Measure all sides in inches and apply the shape's area formula, which gives the result in square inches. If your measurements are in feet, convert them to inches first by multiplying by twelve, or convert the finished square-foot figure instead.
Multiply the two side lengths in feet to get the floor area in square feet. Since both sides are equal, the room is square, and the same result comes from squaring one side length.
Multiply the width in feet by the length in feet, and the product is the floor area in square feet. Enter both dimensions in the calculator above to get the exact figure.
The square footage equals one side length multiplied by itself, since a room with equal sides is a square. Use feet for both measurements so the result comes out in square feet.
Multiply the shorter side by the longer side, both in feet, to get the area in square feet. This is the standard way storage units and rooms are sized.
Multiply the width of fourteen feet by the length of twenty feet to get the floor area in square feet. Any leftover inches should be converted to a decimal fraction of a foot before multiplying.
A room of that area can have many shapes, since only the product of length and width is fixed. Common combinations include a square layout with sides of about seventeen and a half feet, or longer rectangles such as ten by thirty or fifteen by twenty feet.
Our free area calculator makes it easy to calculate the area of six common geometric shapes in seconds. Whether you need to find the area of a triangle, trapezoid, circle, rectangle, parallelogram, or ellipse, simply enter the required measurements and get an accurate result right away. No formulas to memorize, no manual calculations, no mistakes.
The calculator covers the six most commonly used geometric shapes across everyday life, education, and professional settings:
Each shape has its own dedicated input section, so there's no need to navigate between pages. Just select the shape, enter your values, and the result appears instantly.
Using the calculator is straightforward and requires no prior mathematical knowledge:
One important note: all measurements must be entered in the same unit. If you use meters, the result will be displayed in square meters (m²).
Planning to paint a room, lay new flooring, or install wallpaper? You need to calculate the floor area or wall surface first. Our area calculator helps you determine exactly how much material to buy. For example, a living room measuring 5 m × 4 m has a floor area of 20 m² – so you know precisely how many boxes of laminate or liters of paint to purchase.
Whether you're planning a lawn, a flower bed, or a patio, area calculations are essential. A trapezoidal garden bed with parallel sides of 4 m and 6 m and a height of 3 m has an area of (4 + 6) × 3 ÷ 2 = 15 m². This tells you exactly how much soil, mulch, or fertilizer you need.
Students at all levels use area calculators to verify homework answers, study for exams, and gain a deeper understanding of geometry. Instead of second-guessing their formula application, they can check results instantly and learn from any discrepancies.
Tiling, plastering, roofing, and other construction trades rely heavily on accurate area calculations. Our tool helps contractors, architects, and project managers quickly determine material requirements without risking costly errors.
Area calculation is one of the most practical applications of mathematics. It underpins fields like architecture, interior design, landscape planning, engineering, and physics. Getting the area right means saving money, avoiding material waste, and planning more efficiently.
Manual calculations, however, are prone to errors – wrong formulas, unit mix-ups, or simple arithmetic mistakes. Our area calculator eliminates these risks entirely, delivering reliable results every single time.
Once you know the base area, multiply by the height for the volume of a prism or cylinder. The volume calculator does this for common solids and converts the result to liters and gallons.
You can use any unit of length – millimeters, centimeters, meters, feet, or inches. The result will be expressed in the corresponding square unit. The key requirement is that all input values must use the same unit.
The area of a triangle is calculated using the formula: Base × Height ÷ 2. Simply enter the base length and height into the calculator, and the result is shown immediately. Make sure the height is perpendicular to the base.
The calculator is designed for the six standard geometric shapes. For irregular shapes, a common approach is to divide the shape into simpler components, calculate each area separately, and then add the results together.
Absolutely. The calculator is an excellent learning aid for students studying geometry. It helps verify calculations, understand formulas, and build confidence in solving math problems independently.
The calculator provides results to multiple decimal places, making it highly accurate for both everyday and professional use. The value of π used is precise to many digits, ensuring reliable circle and ellipse calculations.