Podcast
Questions and Answers
Which of the following best describes a regular hexagon?
Which of the following best describes a regular hexagon?
- A hexagon with six equal sides and six equal angles. (correct)
- A hexagon with six equal sides but angles of varying measures.
- A hexagon with six sides of varying lengths and angles of varying measures.
- A hexagon with six sides of varying lengths and six equal angles.
What is the sum of all the angles in a regular hexagon?
What is the sum of all the angles in a regular hexagon?
- 900 degrees
- 720 degrees
- 540 degrees (correct)
- 360 degrees
Which formula can be used to calculate the area of a regular hexagon?
Which formula can be used to calculate the area of a regular hexagon?
- $A = 2 \times a^2$
- $A = \frac{3}{2} \times a^2$
- $A = 2 \times a^2 \times \sqrt{3}$
- $A = \frac{3}{2} \times a^2 \times \sqrt{3}$ (correct)
Which type of hexagon has an outward curved design and all interior angles less than 180 degrees?
Which type of hexagon has an outward curved design and all interior angles less than 180 degrees?
What is an example of a complex hexagon?
What is an example of a complex hexagon?
Which of the following best describes a hexagon?
Which of the following best describes a hexagon?
What does the term 'hexagon' mean?
What does the term 'hexagon' mean?
What is a regular hexagon?
What is a regular hexagon?
What is the perimeter of a regular hexagon with side length 'a'?
What is the perimeter of a regular hexagon with side length 'a'?
What are the angles of a regular hexagon?
What are the angles of a regular hexagon?
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Study Notes
Hexagon Basics
- A regular hexagon is a polygon with six sides of equal length, where all internal angles are equal and all vertices lie on a circle.
Angles in a Hexagon
- The sum of all angles in a regular hexagon is 720 degrees.
- Each internal angle in a regular hexagon measures 120 degrees.
Area of a Hexagon
- The area of a regular hexagon can be calculated using the formula: (3 * sqrt(3) * a^2) / 2, where 'a' is the side length.
Types of Hexagons
- A concave hexagon has an outward curved design and all interior angles less than 180 degrees.
- A complex hexagon has at least one interior angle greater than 180 degrees.
Hexagon Properties
- The perimeter of a regular hexagon with side length 'a' is 6a.
- The term 'hexagon' means six-angled.
Regular Hexagon
- A regular hexagon is a hexagon with equal side lengths and equal internal angles.
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