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CalcWillowScientific Calculator

Geometry Formulas: Area, Perimeter & Volume for Every Shape

Every essential geometry formula with clear diagrams — circles, triangles, rectangles, cylinders, cones and spheres, plus worked examples.

1. 2D Plane Geometry Formulas

Circle

Area = π·r² | Circumference = 2·π·r = π·d

Example: Circle with radius 7 cm has Area ≈ 153.94 cm² and Circumference ≈ 43.98 cm.

Rectangle

Area = length × width | Perimeter = 2·(length + width)

Triangle

Area = 1/2 × base × height | Perimeter = a + b + c

2. 3D Solid Geometry Formulas

Cylinder

Volume = π·r²·h | Total Surface Area = 2·π·r·(r + h)

Sphere

Volume = (4/3)·π·r³ | Surface Area = 4·π·r²

3. Interactive Visual Geometry on CalcWillow

Open CalcWillow's Geometry Calculator tab to select any 2D shape or 3D solid. Live vector SVG graphics render dynamically on screen as you adjust dimensions.

Frequently Asked Questions

What is the Pythagorean Theorem?▾

For any right-angled triangle with legs a and b and hypotenuse c, a² + b² = c².

How do you calculate the volume of a sphere?▾

Multiply four-thirds by Pi and the cube of the radius: Volume = (4/3)·π·r³.