Area of a Regular Polygon using the Triangle Method (part 2)

What is the name of the regular polygon shown?

• Hexagon

• Septagon

• Octagon

• Nonagon

Tags

CCSS.2.G.A.1

What is the sum of the interior angles of the regular polygon shown?

• 1080 degrees

• 540 degrees

• 1260 degrees

• 900 degrees

What is the measure of ONE of the interior angles of the regular polygon shown?

• 120 degrees

• 135 degrees

• 180 degrees

• 900 degrees

Draw the congruent triangles formed from the center to the vertices. How many congruent triangles are there?

Mathematical Equivalence

ON

Tags

CCSS.HSG.CO.A.4

What is the measure of ONE central angle?

• 45

• 90

• 135

• 36

Tags

CCSS.7.G.B.5

What is half of the measure of one central angle?

• 22.5

• 0

• 0

• 17.5

Tags

CCSS.7.G.B.5

Draw the half triangle and fill in the apothem, half angle and base

a

b

c

22.5

b

9

What is the b value in the half-triangle?

Input your answer to the nearest hundreth

Mathematical Equivalence

OFF

What is the perimeter of the figure?

• 180

• 29.84 cm

• 59.65 cm

• 72 cm