Math Problem Statement

Since a hexagon has 6 sides, we need to divide the circle into 6 equal parts. 2. Each angle between the points will be:

3606=60\frac{360^{\circ}}{6} = 60^{\circ}
  1. Starting from a point on the circle (let's say the point at the top, which we can call point A), mark the following points around the circle at $60^{\circ}$ intervals:
  • Point B at $60^{\circ}$
  • Point C at $120^{\circ}$
  • Point D at $180^{\circ}$
  • Point E at $240^{\circ}$
  • Point F at $300^{\circ}$

Step 3: Connect the Points

  1. Connect the points A, B, C, D, E, and F in order to form the hexagon.

Summary

You have now drawn a regular hexagon with each side measuring 3 cm, inscribed in a circle with a radius of 3 cm. Each internal angle of the hexagon is $120^{\circ}$.Copy

Solution

Step-by-Step Guide to Drawing an Inscribed Hexagon

Step 1: Understanding the Geometry

A regular hexagon is a six-sided polygon where all sides and internal angles are equal. When inscribed in a circle, each vertex of the hexagon touches the circumference of the circle.

Step 2: Dividing the Circle

To divide the circle into six equal parts:

  1. Calculate the Central Angles: Since a circle is 360360^{\circ} and a hexagon has 6 sides, each central angle between the vertices of the hexagon will be: [