Calculating Perimeters and Areas of Polygons

This video tutorial covers the calculation of areas for various regular polygons, including triangles, heptagons, octagons, pentagons, hexagons, and nonagons. It explains the concepts of perimeter and apothem, and demonstrates how to use these to find the area of each polygon. The video provides step-by-step examples and encourages viewers to engage by liking and subscribing.

What is the main topic of the video?

• Understanding the perimeter of polygons

• Finding the area of regular polygons

• Calculating the volume of polygons

• Finding the area of irregular polygons

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

• Area = apothem + perimeter

• Area = apothem * perimeter

• Area = 1/2 * apothem * perimeter

• Area = 2 * apothem * perimeter

What is the apothem in a regular polygon?

• The segment from the center to the midpoint of a side

• The longest side of the polygon

• The perimeter of the polygon

• The angle between two sides

How do you calculate the perimeter of a regular polygon?

• Subtract the apothem from the area

• Multiply the number of sides by the length of one side

• Divide the area by the apothem

• Add all the angles together

For a triangle with sides of length 8, what is the perimeter?

• 16

• 40

• 24

• 32

What is the area of a triangle with an apothem of 4 times the square root of 3 over 3 and a perimeter of 24?

• 40 times the square root of 3

• 32 times the square root of 3

• 24 times the square root of 3

• 16 times the square root of 3

What is the perimeter of a heptagon with side length 13.9?

• 120.3

• 97.3

• 104.3

• 110.3

What is the area of a heptagon with an apothem of 14.4 and a perimeter of 97.3?

• 700.56

• 800.56

• 750.56

• 850.56

What is the perimeter of an octagon with side length 12?

• 72

• 84

• 96

• 108

What is the area of an octagon with an apothem of 14.5 and a perimeter of 96?

• 596

• 646

• 696

• 746