Question

Construct a regular hexagon of side 4 cm. Construct a circle circumscribing the hexagon and measure its circumradius.
$\left[3Marks\right]$

Answer 1

Steps of Construction:

(i) Construct a regular hexagon ABCDEF with each side equal to 4 cm.

$\left[1Mark\right]$
(ii) Draw any two main diagonals of the hexagon. Let them meet at a point O.

(iii) With O as centre and OA as radius draw a circle which will pass through all the vertices of the hexagon.

$\left[1Mark\right]$
( iv) This is the required circumcircle. Measure OA.

(v) OA = 4 cm

$\left[1Mark\right]$