A regular hexagon has a side length of 5 cm. If each side is increased by 1 cm, by how many square centimeters does the area increase?

Fri, 01 May 2026 22:55:15 +0000

**Discover the Calculated Growth Behind a Popular Hexagon Shape**
Ever wonder how a simple geometric shape like a hexagon responds when its sides grow just a bit? If a regular hexagon starts with a side length of 5 cm and each side increases by 1 cm to 6 cm, how much does its area expand in square centimeters? This question isn’t just a curveball — it dives into the precise relationship between side length and area in regular hexagons, a shape beloved in design, architecture, and even nature. When designers and engineers explore size changes, even small adjustments can trigger noticeable shifts in space and surface area. For mobile users diving into geometric insight, understanding this change reveals both mathematical elegance and practical application — like estimating how much more material a slightly larger hexagon roof or tile pattern might require. ### The Math Behind the Hexagon: Area and Proportional Growth A regular hexagon is defined by six equal sides and six equal internal angles — it’s both symmetrical and efficient in nature. The formula for its area depends directly on the square of the side length: