Exploring the Area of Polygons

What is the formula for the area of a rhombus?

• 1/4 * diagonal 1 * diagonal 2

• 1/2 * diagonal 1 * diagonal 2

• Base * Height

• Side^2

What defines an inscribed polygon?

• A polygon that is equilateral

• A polygon that is equiangular

• A polygon with a circle outside it

• A polygon with a circle inside it

How do you calculate the central angle of a polygon?

• 360 divided by the number of sides

• 180 divided by the number of sides

• Exterior angle divided by the number of sides

• Sum of interior angles divided by the number of sides

What is the role of the apothem in a polygon?

• It is used to calculate the area of the polygon

• It is only a theoretical concept not used in calculations

• It defines the number of sides of the polygon

• It determines the perimeter of the polygon

What trigonometric function is primarily used to find the apothem?

• Sine

• Cosine

• Tangent

• Cotangent

How do you find the area of a regular polygon?

• 1/2 * Apothem * Perimeter

• Base * Height

• 1/2 * Base * Height

• Apothem * Number of sides

What is the central angle of an octagon?

• 40 degrees

• 45 degrees

• 60 degrees

• 50 degrees

Using a side length of 12, what is the apothem of an octagon?

• 16 cm

• 10 cm

• 12 cm

• 14.49 cm

What is the area of a hexagon with an apothem of 7.27 inches and a side length of 8.4 inches?

• 150 sq inches

• 175 sq inches

• 183.2 sq inches

• 200 sq inches

What is the central angle of a hexagon?

• 60 degrees

• 72 degrees

• 90 degrees

• 120 degrees