Properties of Regular Polygons

This video tutorial by Mr. Pot covers the properties and area calculations of regular polygons, focusing on hexagons and octagons. It explains how to find the measure of angles in a hexagon and demonstrates the formula for calculating the area of regular polygons. The tutorial includes examples of calculating the area of a hexagon and an octagon, using the apothem and perimeter.

What is the center of a regular polygon also the center of?

• The largest angle

• The longest side

• The inscribed circle

• The circumscribed circle

How many radii does a regular hexagon have?

• Four

• Five

• Six

• Seven

In a regular hexagon, what is the measure of each interior angle?

• 45 degrees

• 60 degrees

• 120 degrees

• 90 degrees

If the apothem of a regular hexagon is an angle bisector, what is the measure of the angle it bisects?

• 120 degrees

• 90 degrees

• 30 degrees

• 60 degrees

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

• Perimeter squared

• Side squared

• 1/2 times apothem times perimeter

• Base times height

In Example 2, what is the perimeter of the polygon with 20 sides each measuring 12 inches?

• 240 inches

• 120 inches

• 360 inches

• 480 inches

What is the length of the apothem in the regular octagon example?

• 18 feet

• 21.7 feet

• 23.5 feet

• 25 feet

Which theorem is used to find the apothem in the regular octagon example?

• Pythagorean Theorem

• Law of Cosines

• Law of Sines

• Triangle Angle Sum Theorem

What is the area of the library shaped as a regular octagon, rounded to the nearest 10 square feet?

• 1650 square feet

• 1500 square feet

• 1600 square feet

• 1560 square feet

What is a common method used to find lengths of the apothem in regular polygons?

• Using the Law of Sines

• Using properties of right triangles

• Using the Law of Cosines

• Using the Quadratic Formula