Question

Construct a regular hexagon of side $3.2$ cm. Measure the length between the center of the polygon and the mid-point of any of the sides of the polygon (in cms).

Answer 1

The side of Hexagon is given which is 3.2cm.

Steps of construction :

$\Rightarrow$ Draw a circle which radius is 3.2cm with center O.

$\Rightarrow$ Take a point A on a circle as a starting point.

$\Rightarrow$ With A as center and radius 3.2cm draw an arc on a circle which is point B.

$\Rightarrow$ Without changing the radius repeat the process at point B until reach at starting point A.

$\Rightarrow$ Join AB, BC, CD, DE, EF, and FA.

$\Rightarrow$ Thus, ABCDEF is the hexagon now we have to find length between the center of the hexagon and midpoint of any sides of the hexagon.

$\Rightarrow$ So, take side BC and draw perpendicular which will pass through mid-point of BC and center O.

$\Rightarrow$ Now, the point we got on BC is R we have to find the length of OR. So, measure the length of OR.

$\Rightarrow$ OR = 2.8cm