# Area Calculator > Free area calculator for triangle, circle, rectangle, trapezium & parallelogram. Get land area in acres, square footage & step-by-step formulas. **URL:** https://calculators.im/area-calculator **Category:** math **Last updated:** 2026-07-03 Calculate the area of any shape instantly. Find area of triangles, circles, rectangles, squares, trapezoids, ellipses and more with step-by-step formulas. Our free area calculator helps you find the area of any geometric shape. Calculate area for 2D shapes like triangles, circles, rectangles, squares, trapezoids, parallelograms, ellipses, and polygons. Also calculate surface area for 3D shapes. Perfect for students, teachers, construction, flooring, and land measurement. ## Formula ``` Area formulas vary by shape ``` **Variables:** - **Rectangle** — A = length × width - **Square** — A = side² - **Triangle** — A = ½ × base × height - **Circle** — A = π × radius² - **Trapezoid** — A = ½ × (base₁ + base₂) × height - **Ellipse** — A = π × a × b Each geometric shape has its own formula for calculating area based on its dimensions. ## Worked Example ### Example: Rectangle 10m × 5m Area = length × width = 10 × 5 = 50 m² ## How to Use the Area Calculator 1. **Select Shape** — Choose the geometric shape you want to calculate. 2. **Enter Dimensions** — Input the required measurements (length, width, radius, etc.). 3. **Choose Unit** — Select the unit of measurement (meters, feet, etc.). 4. **View Results** — See the calculated area, perimeter, and step-by-step solution. ## Pro Tips - Always use the same unit for all dimensions - For irregular shapes, try breaking them into simpler shapes - Circle area uses radius, not diameter (radius = diameter ÷ 2) - Triangle area can also be calculated using Heron's formula if you know all sides - 1 acre = 4,046.86 m² = 43,560 ft² - 1 hectare = 10,000 m² = 2.471 acres ## Frequently Asked Questions ### How do I calculate the area of a rectangle? Multiply length by width: Area = length × width. For example, a rectangle 10m × 5m has an area of 50 m². ### How do I calculate the area of a circle? Use the formula A = π × r², where r is the radius. If you know the diameter, divide by 2 to get the radius first. ### How do I calculate the area of a triangle? Use A = ½ × base × height. If you know all three sides, use Heron's formula: A = √(s(s-a)(s-b)(s-c)) where s = (a+b+c)/2. ### How do I calculate room area for flooring? Measure length and width in meters or feet, then multiply them. For L-shaped rooms, divide into rectangles and add the areas. ### How do I calculate land area? For rectangular land, multiply length × width. Common units: 1 acre = 4,046.86 m², 1 hectare = 10,000 m². ### How do I find the area of irregular shapes? Break the shape into regular shapes (rectangles, triangles), calculate each area separately, then add them together. ### What's the difference between area and perimeter? Area measures the space inside a shape (in square units). Perimeter measures the distance around the outside edge (in linear units). ### How do I calculate the area of a trapezoid? Use A = ½ × (base₁ + base₂) × height. Add the two parallel sides, multiply by height, then divide by 2. ### How do I calculate the area of a trapezium? Use A = ½ × (base₁ + base₂) × height, where base₁ and base₂ are the two parallel sides. For parallel sides of 8 m and 12 m with a height of 5 m: ½ × (8 + 12) × 5 = 50 m². 'Trapezium' (UK, India, Australia) and 'trapezoid' (US) refer to the same four-sided shape with one pair of parallel sides. ### How do I calculate the area of a parallelogram? Multiply the base by the perpendicular height: A = base × height. Use the vertical height between the parallel sides, not the slanted side length. A base of 10 cm and a height of 6 cm gives 60 cm². ### What is square footage and how do I calculate it? Square footage is area expressed in square feet: measure length and width in feet and multiply. A 12 ft × 15 ft room is 180 square feet. For irregular rooms, split into rectangles, find each area, and add them. Set the unit to feet to get results directly in sq ft. ### How do I measure the area of a plot of land for a survey? Sketch the boundary, divide the plot into triangles and rectangles, measure each, calculate the individual areas, and add them — the classic surveyor's method. Convert to land units with 1 acre = 4,046.86 m² and 1 hectare = 10,000 m². The calculator outputs acres and hectares automatically. ### How do I convert between square meters, square feet, and acres? Area scales with the square of the linear unit: 1 m² = 10.764 sq ft, 1 acre = 4,046.86 m², and 1 hectare = 10,000 m² = 2.471 acres. The calculator shows your result in several area units at once, so you don't have to convert by hand. ### How do I find the area of a regular polygon? For a regular polygon with n sides of length s, area = (n × s²) / (4 × tan(180°/n)). A regular hexagon with 5 cm sides has area (6 × 25) / (4 × tan(30°)) ≈ 64.95 cm². Select 'Regular Polygon' and enter the number of sides and the side length. ### What's the difference between area and surface area? Area measures the flat space inside a 2D shape (square units). Surface area measures the total area of all faces of a 3D object — a cube, sphere, or cylinder. For 3D objects use a volume/surface-area calculator; this tool focuses on 2D shapes and their perimeters. ## Deep Dive Calculate the area of any geometric shape instantly. Our free area calculator supports rectangles, squares, triangles, circles, trapezoids, ellipses, and more with detailed step-by-step formulas. ### Rectangle Area Calculator **Calculate the area of a rectangle** by multiplying length times width. Perfect for calculating: - room area - flooring - walls - rectangular land plots ### Triangle Area Calculator **Find the area of any triangle** using base and height, or use **Heron's formula** when you know all three sides. Works for all triangle types, and if you also need the angles or missing side lengths, our triangle calculator solves the whole triangle for you. ### Circle Area Calculator **Calculate circle area** using the formula **A = πr²**. Enter radius or diameter to find the area of: - circular spaces - pools - round plots ### Land Area Calculator **Measure land area** in square meters, acres, or hectares. Perfect for: - real estate - agriculture - construction planning ### Room & Flooring Calculator **Calculate room area** for flooring, carpeting, or painting. Works for rectangular rooms and can handle L-shaped spaces. ### Step-by-Step Solutions **Learn how to calculate area** with detailed explanations. Each calculation shows the formula and step-by-step solution. ### Trapezium and Trapezoid Area Calculator A **trapezium** (called a **trapezoid** in American English) has one pair of parallel sides. Its area is **A = ½ × (base₁ + base₂) × height** — add the two parallel sides, multiply by the perpendicular height, and halve. For example, parallel sides of 8 m and 12 m with a height of 5 m give ½ × (8 + 12) × 5 = 50 m². The calculator above takes both parallel bases and the height directly. ### Parallelogram and Rhombus Area A **parallelogram's area** is base × perpendicular height (not the slanted side): **A = b × h**. A **rhombus** can use the same base × height, or the diagonal method **A = ½ × d₁ × d₂** when both diagonals are known. A 10 cm base with 6 cm height gives 60 cm²; diagonals of 8 cm and 6 cm give ½ × 8 × 6 = 24 cm². ### Square Footage Calculator for Rooms and Floors **Square footage** is area measured in square feet — length in feet times width in feet. A 12 ft × 15 ft room is 180 sq ft. For flooring, carpet, tile, or paint estimates, measure each rectangular section in feet, multiply, and add the parts for L-shaped rooms. Switch the unit selector to feet to read results directly in square feet. ### How to Measure Land Area for a Survey For a **rectangular plot**, multiply length × width. For an **irregular plot**, split it into triangles and rectangles from a sketch of the boundary, calculate each piece, and sum them — the method land surveyors use. Common land units: - 1 acre = 4,046.86 m² = 43,560 sq ft - 1 hectare = 10,000 m² = 2.471 acres Enter your measured dimensions and the calculator converts the area into acres and hectares automatically. ### Area Unit Conversions: Square Meters, Square Feet, Acres and Hectares Area converts between units by the **square of the linear factor**: - 1 m² = 10.764 sq ft - 1 acre = 4,046.86 m² - 1 hectare = 10,000 m² - 1 km² = 100 hectares The calculator shows your result across metric and imperial area units at once, so a plot entered in metres can be read instantly in square feet or acres. ### Area of Irregular and Composite Shapes **Real-world spaces** — gardens, floor plans, plots — are rarely one clean shape. Break the outline into rectangles, triangles, and circle parts, compute each area separately, then add them (and subtract cut-outs like a pillar or pond). This **composite method** turns any irregular shape into a sum of shapes the calculator already handles. ## Related Calculators - [triangle-calculator](https://calculators.im/triangle-calculator) - [circle-calculator](https://calculators.im/circle-calculator) - [perimeter-calculator](https://calculators.im/perimeter-calculator) - [volume-calculator](https://calculators.im/volume-calculator) - [unit-converter](https://calculators.im/unit-converter) ## Authoritative Sources - [Khan Academy](https://www.khanacademy.org/math/geometry/hs-geo-foundations/hs-geo-area/v/area-of-triangles) — Geometry and area tutorials - [Math is Fun](https://www.mathsisfun.com/area.html) — Area formulas and explanations - [Wolfram MathWorld - Area](https://mathworld.wolfram.com/Area.html) — Area formulas for standard plane figures - [Math Open Reference - Area](https://www.mathopenref.com/) — Interactive geometry area references --- *Source: https://calculators.im/area-calculator — calculators.im, 299+ free online calculators.*