C = \pi \cdot ext{diameter} = \pi \cdot 8\sqrt{2} = 8\sqrt{2}\pi ext{ cm}

Tue, 05 May 2026 08:12:26 +0000

# Understanding the Formula: C = π × Diameter – A Simple Explanation in Centimeters When exploring circles in geometry, one of the most fundamental relationships you’ll encounter is the circumference formula: C = π × diameter. This equation reveals a beautiful connection between a circle’s width and its boundary length, expressed using the mathematical constant π (pi), approximately equal to 3.14159. But what does this formula truly mean, and how does it apply in practical terms—especially when the diameter involves a radical expression like 8√2? ## The Core of the Formula: C = π × diameter At its heart, the circumference C of any circle is directly proportional to its diameter—the distance across the circle through its center. The constant π represents the ratio of a circle’s circumference to its diameter, a value that remains constant no matter the circle’s size. Therefore, multiplying π by the diameter gives you the total distance around the circle.