Question
Construct a regular hexagon of side $2.5 \ cm$
✓
Answer
The length of the side of a regular hexagon is equal to the radius of its circumcircle.
Steps of construction:
$1$. Draw a circle of radius $2.5 \ cm$
$2$. Taking any point $A$ on the circumference of the circle as the centre, draw arcs of same radii $($i.e. $2.5 \ cm)$ which cut the circumference at $B$ and $F.$
$3$. With $B$ and $F$ as centres, again draw two arcs of same radii which cut the circumference at $C$ and $E$ respectively.
$4$. With $C$ or $E$ as the centre, draw one more arc of the same radius which cuts the circumference at point $D$.
In this way, the circumference of the circle is divided into six equal parts.
$5$. Join $AB , BC , CD , DE , EF$ and $FA$.
$\text{ABCDEF}$ is the required regular hexagon.
Steps of construction:
$1$. Draw a circle of radius $2.5 \ cm$
$2$. Taking any point $A$ on the circumference of the circle as the centre, draw arcs of same radii $($i.e. $2.5 \ cm)$ which cut the circumference at $B$ and $F.$
$3$. With $B$ and $F$ as centres, again draw two arcs of same radii which cut the circumference at $C$ and $E$ respectively.
$4$. With $C$ or $E$ as the centre, draw one more arc of the same radius which cuts the circumference at point $D$.
In this way, the circumference of the circle is divided into six equal parts.
$5$. Join $AB , BC , CD , DE , EF$ and $FA$.
$\text{ABCDEF}$ is the required regular hexagon.
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