Understanding the Area of Regular Hexagons

What is a defining characteristic of a regular polygon?

• It has only right angles.

• It is always a hexagon.

• All sides and angles are congruent.

• All sides are of different lengths.

What is the central angle of a regular hexagon?

• 90 degrees

• 60 degrees

• 45 degrees

• 120 degrees

In a regular hexagon, what does the apothem do?

• It is equal to the radius.

• It bisects a side and an angle.

• It connects two opposite vertices.

• It bisects the hexagon into two equal parts.

How do you calculate the perimeter of a hexagon with a side length of 6 meters?

• 6 meters

• 12 meters

• 18 meters

• 36 meters

What is the formula for the area of a regular polygon?

• Perimeter divided by the apothem

• Perimeter times radius

• Half the product of the apothem and perimeter

• Twice the product of the apothem and perimeter

What is an alternative method to find the apothem of a hexagon?

• Using the central angle

• Using the Pythagorean theorem

• Using the perimeter formula

• Using the area formula

In the second example, what is the radius of the hexagon?

• 18 inches

• 27 inches

• 9 inches

• 36 inches

How do you find the side length of a hexagon if the radius is given as 18 inches?

• Subtract 9 from the radius

• The side length is equal to the radius

• Multiply the radius by 2

• Divide the radius by 2

What is the perimeter of a hexagon with a side length of 18 inches?

• 54 inches

• 72 inches

• 108 inches

• 144 inches

What is the area of a hexagon with a radius of 18 inches?

• 1080 square inches

• 648 square inches

• 8424 square inches

• 324 square inches