Area of geometric shapes
Instant calculation and detailed solution progress
to see the result and formula
Area of figures
📐 Instant calculation of area for construction and study
Our tool helps you calculate the area for 10+ geometric shapes: from a simple square to a complex trapezoid. This is necessary to calculate the amount of wallpaper for renovation, find out the area of a plot of land, or check your geometry homework.
Basic formulas and principles of calculation
If you need to understand the logic of the calculations or do it manually, here is a cheat sheet on the most popular shapes:
1. Circle
The area of a circle is calculated through its radius.
Formula: S = π × r²
Where π ≈ 3.14159, r is the radius.
2. Triangle
The classic way is through the base and height.
Formula: S = ½ × a × h
Where a is the base, h is the height.
3. Rectangle and Square
The simplest calculation required for walls and floors.
Formula: S = a × b
Where a and b are lengths of adjacent sides.
4. Trapezoid
Half the sum of the bases multiplied by the height is used.
Formula: S = ½ × (a + b) × h
Practical application
🏡 Repair and construction
To avoid buying unnecessary materials, divide the walls into rectangles (subtracting windows and doors). Calculate the area of each plot and add them up. To convert centimeters to meters, use our length converter.
🌳 Land plots
The areas are often irregular in shape. The triangulation method (dividing a complex figure into triangles) allows you to calculate the exact area of land in acres or hectares.
Frequently asked questions (FAQ)
🔹 How to calculate the area of a complex irregular shape?
The only accurate way is to visually break a complex shape into simple components (squares, rectangles, triangles). Calculate the area of each part separately in our calculator and add up the results.
🔹 How to translate sq. centimeters to square meters?
One square meter is 10,000 square centimeters. To convert cm² to m², you need to divide the number by 10,000. For example, 50,000 cm² = 5 m².
🔹 Why is the result different from manual calculation?
Most often the error is in the units of measurement. Make sure you enter all data in the same system (for example, meters only). Our calculator also uses Pi with high precision, which gives a more accurate result than multiplying by 3.14.