How to Find the Area of a Regular Polygon

The video tutorial from tarveracademy.com explains how to calculate the area of a regular polygon, focusing on a regular hexagon with side lengths of 6 meters. It introduces key concepts such as the apothem and perimeter, and demonstrates the calculation process using a 30-60-90 triangle to find the apothem. The tutorial concludes with the final area calculation, emphasizing the importance of understanding geometric properties and formulas.

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

• Area = 1/2 × apothem × perimeter

• Area = apothem + perimeter

• Area = apothem × perimeter

• Area = 2 × apothem × perimeter

In the example of a regular hexagon, what is the length of each side?

• 6 meters

• 4 meters

• 5 meters

• 7 meters

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

• 6 × 5

• 6 × 6

• 6 × 4

• 6 + 6

What is the measure of the central angle in a regular hexagon?

• 45 degrees

• 60 degrees

• 90 degrees

• 120 degrees

What type of triangle is used to find the apothem in the example?

• 30-60-90 triangle

• Scalene triangle

• 45-45-90 triangle

• Equilateral triangle

How is the apothem calculated in a 30-60-90 triangle?

• Multiply the side opposite 30 degrees by 2

• Multiply the side opposite 60 degrees by 2

• Multiply the side opposite 30 degrees by √3

• Multiply the side opposite 60 degrees by √3

What is the final area of the hexagon in the example?

• 72 square meters

• 36 square meters

• 93.5 square meters

• 54 square meters