Apothem, Side, Perimeter, Central Angle, Area of Regular Polygons

A regular decagon has a perimeter of 10 m, and an apothem of 1.5 m. What is the area of the decagon?

• 300 m²

• 30 m²

• 75 m²

• 7.4 m²

If PQ= 15 in, find the area

• 813.7 in^2

• 264 in^2

• 456 in^2

• 524 in^2

• 200.03 m^2

• 423.92 m^2

• 237.76 m^2

IF AR = 41 ft, find the area

• 396.81

• 3567.89

• 4325.87

• 3996.81

What is the measure of a central angle of a regular Octagon?

• 20°

• 30°

• 45°

• 60°

• 72°

What is the measure of a central angle of a regular Hexagon?

• 20°

• 30°

• 45°

• 60°

• 72°

What is the measure of a central angle of a regular Decagon (polygon with 10 sides)?

• 20°

• 30°

• 36°

• 45°

• 60°

Find the apothem of a regular hexagon with a side length of 15 cm. (Hint: the triangle shown is a special right triangle)

Find the apothem of a equilateral triangle with side length of 24 cm. Round to the nearest tenth if necessary.

• 6 cm

• 6.9 cm

• 13.6 cm

• 20.8 cm

What is the area of a hexagon with a perimeter of 36 cm, and an apothem with length 5.2 cm