Finding the Area of Hexagons, Heptagons, and Octagons (Tarver Academy Math)

The video tutorial explains how to calculate the area of regular polygons like hexagons, heptagons, and octagons using a common formula involving the apothem and perimeter. It provides a detailed example with a hexagon, demonstrating the use of special right triangles to find the apothem and complete the area calculation. The tutorial also covers the differences in calculating areas for heptagons and octagons, emphasizing the importance of understanding interior angles and using geometry principles.

What is the common formula used to find the area of hexagons, heptagons, and octagons?

• Area = side length squared

• Area = 1/2 apothem times perimeter

• Area = perimeter squared

• Area = 1/2 base times height

What does the apothem of a polygon represent?

• The distance from the center to a vertex

• The perimeter divided by the number of sides

• The shortest distance from the center to a side

• The longest diagonal

How do you calculate the perimeter of a regular hexagon with side length 5?

• 5 times 5

• 5 plus 6

• 5 times 6

• 5 divided by 6

Which trigonometric function is used to find the apothem in a special right triangle?

• Tangent

• Cosine

• Sine

• Cosecant

What is the measure of each interior angle in a regular hexagon?

• 45 degrees

• 90 degrees

• 60 degrees

• 120 degrees

How do you calculate the interior angle of a regular heptagon?

• 360 divided by 9

• 360 divided by 7

• 360 divided by 6

• 360 divided by 8

Why are octagons easier to work with compared to heptagons?

• They have fewer sides

• They have a cleaner angle of 45 degrees

• They are smaller in size

• They require less calculation