Area of Regular Polygons, Assignment

The pentagon below has an area of 8.3 square centimeters.

1.5 cm

The radius of a regular decagon, a 10-sided figure, is 15 units. The length of one side of the polygon measures about 9.3 units. What is the approximate area of the regular decagon rounded to the nearest tenth?

663.1 square units

A model of a soccer ball is made up of regular pentagons and hexagons. The side length of one of the pentagons measures 2 inches and the apothem measures about 1.38 inches. What is the area of one of the pentagons? State your answer to the nearest tenth. The side length of one of the hexagons measures 2 inches and the apothem measures about 1.73 inches. What is the area of one of the hexagons? State your answer to the nearest tenth.

6.9 square inches. 10.4 square inches.

A hexagon has a radius measuring 23 cm. What is the approximate area of the hexagon?

1374.4 square cm

A regular pentagon has an apothem measuring 20 cm and a perimeter of 145.3 cm. What is the area of the pentagon?

1,453 square centimeters

The floor of a gazebo is in the shape of a regular octagon. The perimeter of the floor is 72 feet. The distance from the center of the octagon to one of the vertices is 11.8 feet. What is the approximate length of the apothem? What is the approximate area of the floor of the gazebo?

10.9 feet 392.4 feet

The polygon below is a regular hexagon. What is the approximate length of the apothem? Round to the nearest tenth.

15.6 cm

Bianca calculated the height of the equilateral triangle with side lengths of 10. Calculate the area of the equilateral triangle using the formula for area of a regular polygon, and compare it to Bianca's answer. The apothem, rounded to the nearest tenth, is _____ units. The perimeter of the equilateral triangle is _____ units. Therefore, the area of the equilateral triangle is _____, or approximately 43.5 units^2. The calculated areas are _____.

2.9 30 1/2(2.9)(30) the same, despite using different formulas.

A regular pentagon has a perimeter of 60 cm. What is the measure of angle CBD? What is the length of segment CD? Which trigonometric ratio can be used to compare BC to CD using angle CBD? What is the approximate length of BC? What is the approximate length of BD?

36° 6 cm tangent 8.3 cm 10.2 cm

The area of the octagon below is 10,391.9 square millimeters. What is the approximate perimeter of the octagon? Round to the nearest whole number. What is the approximate length of one side of the octagon? Round to the nearest whole number.

371 mm 46 mm