H- Area of Regular Polygons

Front

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

Back

Area = (1/2) * Perimeter * Apothem

Front

Define a regular polygon.

Back

A regular polygon is a polygon with all sides and angles equal.

Front

What is the perimeter of a regular hexagon with a side length of 10 ft?

Back

Perimeter = 6 * side length = 6 * 10 ft = 60 ft.

Front

How do you find the apothem of a regular polygon?

Back

The apothem can be found using the formula: Apothem = (side length) / (2 * tan(π/n)), where n is the number of sides.

Front

Find the area of a regular pentagon with a side length of 8 cm and an apothem of 6.9 cm.

Back

Area = (1/2) * Perimeter * Apothem = (1/2) * (5 * 8 cm) * 6.9 cm = 138 cm².

Front

What is the area of a regular octagon with a side length of 5 m?

Back

Area = 2 * (1 + √2) * (side length)² = 2 * (1 + √2) * (5 m)² ≈ 98.99 m².

Front

If a regular hexagon has a perimeter of 60 ft, what is the length of one side?

Back

Side length = Perimeter / 6 = 60 ft / 6 = 10 ft.

Front

What is the area of a regular triangle with a side length of 6 cm?

Back

Area = (√3/4) * (side length)² = (√3/4) * (6 cm)² = 15.59 cm².

Front

How do you calculate the area of a regular polygon with n sides?

Back

Area = (1/2) * n * (side length) * (apothem).

Front

What is the relationship between the side length and the area of a regular polygon?

Back

As the side length increases, the area of the polygon increases.