Question

For a regular hexagon, inscribing a circle, the length of the side of the hexagon and the radius of the circle are ______.

Options

• equal

• not equal

• side of hexagon is bigger than the radius of the circle.

• side of hexagon is smaller than the radius of the circle.

Answer 1

For a regular hexagon, inscribing a circle, the length of the side of the hexagon and the radius of the circle are side of hexagon is bigger than the radius of the circle.

Explanation:

We know that,

A regular hexagon comprises 6 equilateral triangles.

∴ BAC is an equilateral triangle.

∴ AB = BC = CA.

From figure,

⇒ AP < CA

⇒ AP < BC

⇒ Radius < Side of hexagon