Exploring Area Calculations of Regular Polygons

What is the definition of an apothem in a regular polygon?

• The perimeter of the polygon

• The distance from the center to a side

• The distance from the center to a vertex

• The longest diagonal in the polygon

How is the central angle of a regular polygon calculated?

• The number of sides plus 360 degrees

• 360 degrees divided by the number of sides

• 180 degrees divided by the number of sides

• The number of sides times 360 degrees

What is the purpose of dividing a regular polygon into congruent isosceles triangles?

• To determine the number of sides of the polygon

• To facilitate the calculation of its area

• To find the central angle of the polygon

• To simplify the calculation of its perimeter

What theorem is applied to find the apothem of a regular hexagon?

• 45-45-90 triangle theorem

• 30-60-90 triangle theorem

• Pythagorean theorem

• Sine rule

How is the perimeter of a regular hexagon with a side length of 6 meters calculated?

• 48 meters

• 24 meters

• 12 meters

• 36 meters

What formula is used to calculate the area of a regular polygon?

• Area = 1/2 * base * height

• Area = side length squared

• Area = 1/2 * apothem * perimeter

• Area = apothem * side length

What is the relationship between the apothem and the side length in a 30-60-90 triangle within a hexagon?

• The apothem is half the side length times the square root of 3

• The apothem is equal to the side length divided by 2

• The apothem is equal to the side length times the square root of 3

• The apothem is twice the side length

How do you find the tangent of an angle in a right triangle?

• Opposite leg over adjacent leg

• Opposite leg over hypotenuse

• Adjacent leg over opposite leg

• Hypotenuse over opposite leg

What is the perimeter of a regular pentagon with 8-inch sides?

• 16 inches

• 32 inches

• 64 inches

• 40 inches

What is the area of a regular pentagon calculated in the video?

• 93.5 inches squared

• 130.2 inches squared

• 110.1 inches squared

• 120.5 inches squared