Geometry Calculator Online Free

Area measures the space inside a 2D shape (in square units like m² or ft²), while perimeter measures the distance around the outside of the shape (in linear units like m or ft). Think of area as how much paint you need to cover a surface, and perimeter as how much trim you need to go around the edge. Both are important but serve different purposes in calculations and real-world applications.

Break the irregular shape into regular shapes (rectangles, triangles, circles) that you can calculate individually. Measure each section, calculate its area using the appropriate formula, then add all the areas together. For very irregular shapes, you might use graph paper to count squares, or digital tools that can trace and calculate complex shapes. Professional surveyors use specialized equipment for highly irregular areas.

Pi (π) is a mathematical constant approximately equal to 3.14159. It represents the ratio of a circle's circumference to its diameter—this ratio is always the same for any circle. Pi appears in all circle-related formulas because circles are fundamentally different from shapes with straight edges. Our calculator uses a precise value of pi for accurate results.

To convert between units, use conversion factors: 1 meter = 3.28084 feet, 1 foot = 12 inches, 1 meter = 100 centimeters. For area, square the conversion factor (1 m² = 10.764 ft²). For volume, cube it (1 m³ = 35.315 ft³). Our calculator lets you select your preferred unit, and all results will be in that unit. Always convert all measurements to the same unit before calculating.

Surface area is the total area of all outer surfaces of a 3D object (measured in square units), while volume is the amount of 3D space inside the object (measured in cubic units). Surface area tells you how much material is needed to cover or paint an object. Volume tells you how much the object can hold or how much space it occupies. Both are important for different applications.

Our calculator provides mathematically precise results based on the measurements you input. However, accuracy depends on the precision of your measurements. Measure carefully using appropriate tools. For professional applications, verify calculations and consider consulting with experts. Remember that real-world factors like material thickness and installation gaps may affect actual requirements.

Yes, but with caution. Our calculator provides accurate mathematical results perfect for planning and estimation. However, construction projects require additional considerations: material waste (add 10-15%), installation gaps, material thickness, and building codes. Always verify calculations with professionals for structural or critical applications. Use our results as a starting point, not the final word.

The area of a triangle is calculated as: Area = (base × height) / 2. The base is any side of the triangle, and the height is the perpendicular distance from that base to the opposite vertex. This formula works because a triangle is exactly half of a rectangle with the same base and height. For right triangles, the two perpendicular sides can serve as base and height.

Cylinder volume is calculated as: Volume = π × r² × h, where r is the radius of the circular base and h is the height. This formula works because a cylinder is essentially a circle extended through space. First calculate the area of the circular base (πr²), then multiply by the height to get the volume. Make sure radius and height use the same units.

Our calculator handles common 2D shapes (circle, rectangle, triangle, square) and 3D shapes (sphere, cylinder, cone, cube). For each shape, it calculates relevant measurements: area and perimeter for 2D shapes, volume and surface area for 3D shapes. Select your shape from the dropdown menu, enter the required dimensions, and get instant results with formulas and visual charts.