TWCP Area of Regular Polygons

Video from Google Slides

Fill in the Blanks

Central Angle of a hexagon

Multiple Choice

Central Angle of an octagon

• 45°

• 90°

• 22.5°

• 60°

• 30°

Fill in the Blanks

Central Angle of a decagon (10-gon)

Match

Match up each bisected central angle

• Hexagon's bisected central angle

• Octagon's bisected central angle

• Decagon's bisected central angle

• Distractor

30°

22.5°

18°

45°

• 30°

• 22.5°

• 18°

• 45°

Match

Match up each bisected length.

• Hexagon's bisected side length

• Octagon's bisected side length

• Decagon's bisected side length

• Distractor

11

7.5

3.8

3.3

• 11

• 7.5

• 3.8

• 3.3

Multiple Select

Hexagon's formula for its apothem

• $$\tan\left(30\degree\right)=\frac{11}{a}$$

• $$\sin\left(30\degree\right)=\frac{a}{11}$$

• $$\cos\left(30\degree\right)=\frac{a}{11}$$

• $$\tan\left(30\degree\right)=\frac{a}{11}$$

Multiple Choice

Octagon's formula for its apothem

• $$\tan\left(22.5\degree\right)=\frac{7.5}{a}$$

• $$\sin\left(22.5\degree\right)=\frac{a}{7.5}$$

• $$\cos\left(30\degree\right)=\frac{7.5}{a}$$

• $$\tan\left(7.5\degree\right)=\frac{a}{22.5}$$

Multiple Choice

Decagon's formula for its apothem

• $$\tan\left(18\degree\right)=\frac{3.8}{a}$$

• $$\sin\left(18\degree\right)=\frac{3.8}{a}$$

• $$\cos\left(18\degree\right)=\frac{a}{3.8}$$

• $$\tan\left(18\degree\right)=\frac{a}{3.8}$$

Draw

Perimeter1

Perimeter2

Perimeter3

Fill in the Blanks

Area of hexagon (round to nearest tenth)

Fill in the Blanks

Area of octagon (round to nearest tenth)

Fill in the Blanks

Area of decagon (round to nearest tenth)