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# Geometry for Modeling and Design

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## 4.12 Drawing a Hexagon

Each side of a hexagon is equal to the radius of the circumscribed circle (Figure 4.36a). To use a compass or dividers, use the radius of the circle to mark the six points of the hexagon around the circle. Connect the points with straight lines. Check your accuracy by making sure the opposite sides of the hexagon are parallel.

Centerline Variation Draw vertical and horizontal centerlines (Figure 4.36b). With A and B as centers and radius equal to that of the circle, draw arcs to intersect the circle at C, D, E, and F, and complete the hexagon as shown.

Hexagons, especially when drawn to create bolt heads, are usually dimensioned by the distance across the flat sides (not across the corners). When creating a hexagon using CAD, it is typical to draw it as circumscribed about a circle, so that the circle diameter is defining the distance across the flat sides of the hexagon (see Figure 4.32).