Finding the Area of Regular Polygons

What is a regular polygon?

• A shape with all sides and angles equal

• A shape with only four sides

• A shape with sides of varying lengths

• A shape that cannot have equal sides

Tags

CCSS.2.G.A.1

How many sides does a decagon have?

• 10

• 8

• 12

• 15

Tags

CCSS.2.G.A.1

What is the first step in finding the area of a regular polygon?

• Memorizing the formula

• Dividing it into congruent triangles

• Calculating the perimeter

• Finding the radius

Tags

CCSS.6.G.A.1

What formula is used to find the area of a triangle?

• Base plus height

• Base times height

• Base times height divided by two

• Base plus height divided by two

Tags

CCSS.6.G.A.1

What is the purpose of dividing the polygon into triangles?

• To find the radius of the polygon

• To determine the number of sides it has

• To make it easier to calculate its area

• To simplify the calculation of its perimeter

Tags

CCSS.6.G.A.4

How do you find the base of the triangle inside the polygon?

• Calculating with trigonometry

• Halving the radius

• Doubling the height

• Using the radius

Tags

CCSS.HSG.SRT.C.8

What trigonometric ratio is used to find the height of the triangle?

• Sine

• Cosine

• Tangent

• Cotangent

Tags

CCSS.HSG.SRT.C.6

What is the central angle of a decagon?

• 18 degrees

• 360 degrees

• 36 degrees

• 72 degrees

What does the height in the triangle represent in relation to the polygon?

• The radius of the polygon

• The diameter of the polygon

• The apothem of the polygon

• The perimeter of the polygon

How do you find the area of the entire polygon?

• Multiply the area of one triangle by the number of sides

• Add the area of all triangles

• Divide the area of one triangle by the number of sides

• Multiply the area of one triangle by two