Constructing a Regular Hexagon + Practice
Try It Yourself...
Verify with GeoGebra
Which circle is the hexagon inscribed in?
Join each vertex of the hexagon with the center of the circle. How many triangles do you obtain? Prove that they are congruent to each other.
What is the measure of the central angle that subtends the side of an inscribed regular hexagon?
What is the measure of the corresponding angle at the circumference?
The radius of a circle is in. What is the length of the side of the regular hexagon inscribed in the circle?
is an hexagon inscribed in a circle with radius in.
Using the data displayed in the figure above, can you say that ?
Verify your answer by calculating the lengths of the two sides.
True or False?
If a statement is false, correct it to make it true, or provide a counterexample. 1. The center of the inscribed circle and circumscribed circle of a regular hexagon coincide. 2. Any hexagon can be inscribed in a circle. 3. All the sides of a circumscribed hexagon are inside the circle. 4. An hexagon is called regular when all its sides are congruent and all its internal angles measure 60°.