Geometry Calculator
Calculate area, perimeter, volume, and surface area for various geometric shapes
Shape Selection
Choose a shape and enter dimensions
Calculate area, circumference, diameter
Results
Your geometric calculations
Enter dimensions and click calculate to see results
About Geometric Calculations
2D Shapes
- • Circle: Area = πr², Circumference = 2πr
- • Rectangle: Area = l×w, Perimeter = 2(l+w)
- • Triangle: Area = ½bh, Heron's formula for area
3D Shapes
- • Sphere: Volume = (4/3)πr³, Surface Area = 4πr²
- • Cylinder: Volume = πr²h, Surface Area = 2πr(r+h)
- • Cone: Volume = (1/3)πr²h, Surface Area = πr(r+l)
- • Prism: Volume = l×w×h, Surface Area = 2(lw+lh+wh)
Pythagorean Theorem
- • For right triangles: a² + b² = c²
- • Set unknown side to 0 to calculate it
- • Only works for right triangles (90° angle)
Frequently Asked Questions
How do you calculate the area of a circle?▾
The area of a circle is π × r², where r is the radius. For example, a circle with radius 5 has an area of π × 25 ≈ 78.54 square units.
What is the formula for the volume of a sphere?▾
The volume of a sphere is (4/3) × π × r³, where r is the radius. This formula gives the total space enclosed by the sphere's surface.
How do you find the area of a triangle?▾
The most common formula is (1/2) × base × height. If you know all three sides, use Heron's formula: √(s(s−a)(s−b)(s−c)) where s is the semi-perimeter.
What is the difference between surface area and volume?▾
Surface area measures the total area covering a 3D shape's exterior (in square units). Volume measures the space inside the shape (in cubic units).