TWCP Area of Regular Polygons

Video from Google Slides

Fill in the Blank

Central Angle of a hexagon

Multiple Choice

Central Angle of an octagon

• 45°

• 90°

• 22.5°

• 60°

• 30°

Fill in the Blank

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 Blank

Area of hexagon (round to nearest tenth)

.

Fill in the Blank

Area of octagon (round to nearest tenth)

.

Fill in the Blank

Area of decagon (round to nearest tenth)

.