Question

A hexagon is inscribed in a circle of radius 14 cm

Answer 1

If its every vertex is joined with the centre of the circle, you will find that central angle,that is 360° is divided into 6 equal parts. So each angle at the centre = 60°.

Now radius = 12cm. Which implies that 2 sides of the triangle =12cm. That shows every triangle is isosceles. But one of its angles =60° So other 2 base angles have to be 60° each.

This implies that the triangle is an equilateral triangle. So all the sides of the triangle= 12cm.

=> side of the hexagon= 12cm