Exploring the Area of Polygons

What is the first step in learning to calculate the area of a polygon?

• Drawing the polygon

• Learning relevant vocabulary

• Calculating the perimeter

• Understanding the formula

What is the term used for a line from the center to a vertex of a polygon?

• Chord

• Diameter

• Radius

• Segment

What is the term for a perpendicular line from the center to a side of the polygon?

• Median

• Altitude

• Bisector

• Apothem

How is the central angle of a polygon calculated?

• 360 degrees multiplied by the number of sides

• 180 degrees divided by the number of sides

• 180 degrees multiplied by the number of sides

• 360 degrees divided by the number of sides

What is the formula for the area of a polygon?

• Apothem plus perimeter

• Apothem times perimeter

• Perimeter divided by apothem

• 1/2 times apothem times perimeter

What additional information is needed if the side length and radius are known but the apothem is missing?

• The height of the polygon

• The diameter of the inscribed circle

• The number of sides

• The central angle

In a right triangle within a polygon, if the hypotenuse is known, what can be said about the shorter side?

• It is equal to the hypotenuse

• It is double the hypotenuse

• It is half the hypotenuse

• It cannot be determined

What trigonometric ratio is used for polygons with different central angles?

• Sine

• Cosine

• Tangent

• Cotangent

What is the perimeter of a hexagon with each side measuring 6 units?

• 12 units

• 24 units

• 36 units

• 18 units

What is the simplified area of a hexagon if the apothem is 3√3 and the perimeter is 36?

• 18√3 square units

• 72√3 square units

• 108√3 square units

• 54√3 square units