Pi (π) in Geometry

Explore how π appears in various geometric shapes and formulas. Adjust the radius to see how π relates to circumference, area, and volume.

80

Circle Visualization

Circumference = 2πr
Area = πr²

Calculations

Circle Properties

Radius (r):
80
Diameter (d):
160
Circumference:
502.65
Area:
20106.19

Sphere Properties

Surface Area:
80424.77
4πr²
Volume:
2144660.58
(4/3)πr³

π Ratios

Circumference / Diameter: 3.14159
Area / r²: 3.14159
These ratios always equal π!

Fun Facts

• π is approximately 3.14159265359...
• π is an irrational number
• π appears in probability, statistics, and physics
• One radian = 180°/π ≈ 57.3°

Pi Unwrapping Animation

Watch as the circumference "unwraps" to show it's exactly π × diameter long