Calculate area of all shapes: circles, rectangles, triangles, and more. Get step-by-step solutions for all your geometry area calculations.
A standard basketball court is 94 feet long and 50 feet wide (rectangle).
Area = length × width
Area = 94 × 50 = 4,700 sq ft
The total playing surface of an NBA court is 4,700 square feet.
A large pizza has a 14-inch diameter (7-inch radius).
Area = πr² = π × 7² = π × 49
Area ≈ 153.94 sq inches
A 14-inch pizza has about 154 square inches of pizza. A 12-inch pizza has about 113 sq inches — the 14-inch gives you 36% more pizza!
A living room is shaped like a rectangle, 20 feet long and 15 feet wide, with a rectangular bay window area 6 feet by 4 feet.
Main area = 20 × 15 = 300 sq ft
Bay area = 6 × 4 = 24 sq ft
Total = 300 + 24 = 324 sq ft of flooring needed
Always add 10% extra for waste: about 356 sq ft to purchase.
A triangular garden has a base of 12 meters and a height of 8 meters.
Area = ½ × base × height = ½ × 12 × 8
Area = 48 sq meters
This works for any triangle — right, acute, or obtuse — as long as you know the base and perpendicular height.
The area of a shape is the measure of the two-dimensional space it occupies. Area is measured in square units (sq in, sq ft, sq m, sq cm, etc.). Different shapes have different formulas for calculating their area based on their geometric properties.
Always use the same unit for all measurements. If radius is in inches, area will be in square inches. Convert units first if needed.
For circles, use the π button on your calculator for the most precise result. Our calculator uses π ≈ 3.141592653589793.
For triangles, the height must be perpendicular (at 90°) to the base. Using a slanted side instead of the height will give the wrong area.
Complex shapes can be broken down into simpler shapes. Calculate each area separately, then add them together for the total.
Area is the measure of the amount of space inside a two-dimensional shape. It's a fundamental concept in geometry that appears in countless real-world situations — from figuring out how much paint you need for a wall to calculating the size of a piece of land.
Area is always expressed in square units (e.g., square inches, square feet, square meters, square centimeters). When you multiply two linear measurements together, the result is in square units. For example, a room that is 12 feet by 10 feet has an area of 120 square feet (12 × 10 = 120 sq ft).
Different shapes require different formulas because of their unique geometric properties. A circle's area depends on its radius, while a triangle's area depends on its base and height. Understanding these formulas helps you solve real problems in construction, design, landscaping, manufacturing, and many other fields.
Calculating area is straightforward when you follow these general steps. The exact process depends on the shape, but the underlying approach is always the same.
Step 1: Identify the shape you're working with. Is it a circle, rectangle, triangle, square, or something else?
Step 2: Select the appropriate formula. Each shape has a specific formula that relates its dimensions to its area.
Step 3: Measure or identify the required dimensions. For a rectangle, you need length and width. For a circle, you need the radius (or diameter).
Step 4: Plug the values into the formula and calculate. Use a calculator for precision, especially when working with π.
Step 5: Express the answer in the correct square units. If you measured in inches, the area is in square inches (in²).
When calculating the area of circles, you'll need to use π (pi), which is approximately 3.14159. For most practical purposes, using π ≈ 3.14 or π ≈ 3.1416 gives sufficient accuracy. Our calculator uses the full precision of JavaScript's Math.PI for the most accurate results possible.
Area calculations are used everywhere. Here are some of the most common applications you'll encounter:
Calculate floor area for flooring materials, wall area for paint, countertop area for granite, or garden area for sod and plants.
Foundations, roofing, drywall, tiling, and concrete pours all require accurate area measurements for material estimation and cost calculation.
Farmers calculate field areas to determine seed quantities, fertilizer application rates, irrigation coverage, and expected crop yields.
Product designers calculate material area for packaging, fabric for clothing, and surface area for painting or coating applications.
⚠️ Important Note: This Area Calculator is for educational and informational purposes only. While every effort has been made to ensure accuracy, results should be verified independently for critical applications such as construction, engineering, manufacturing, or financial decisions. Always consult a qualified professional for area-related decisions in high-stakes contexts.