Calculating Area and Perimeter of Polygons

This video tutorial explains how to calculate the perimeter and area of regular polygons, specifically focusing on pentagons and hexagons. It covers the concept of perimeter as the sum of all sides and introduces the apothem for area calculation. The video provides detailed steps for calculating the area using trigonometric functions and emphasizes the importance of using the correct units and formulas.

What is the primary focus of this video tutorial?

• Learning about different types of triangles

• Calculating the area and perimeter of regular polygons

• Understanding the properties of circles

• Finding the area and perimeter of irregular polygons

How many sides does a regular pentagon have?

• Three

• Six

• Four

• Five

If each side of a pentagon is 4 cm, what is its perimeter?

• 16 cm

• 20 cm

• 28 cm

• 24 cm

How many sides does a regular hexagon have?

• Seven

• Six

• Five

• Four

What is the perimeter of a hexagon if each side is 7 cm?

• 56 cm

• 35 cm

• 42 cm

• 49 cm

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

• Perimeter times radius divided by 2

• Perimeter times apothem divided by 2

• Length times width

• Base times height divided by 2

What is the apothem in a regular polygon?

• The distance from the center to a vertex

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

• The longest side of the polygon

• The angle between two sides

How is the apothem used in calculating the area of a pentagon?

• It is multiplied by the perimeter and divided by 2

• It is divided by the perimeter

• It is added to the perimeter

• It is subtracted from the perimeter

What is the area of a pentagon with a perimeter of 20 cm and an apothem of 2.75 cm?

• 40 cm²

• 27.5 cm²

• 30 cm²

• 35 cm²

What is the first step in finding the area of a hexagon?

• Find the radius

• Determine the number of sides

• Calculate the perimeter

• Measure the angles