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. square inches 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. square inches
Answers
Answer:
Area of a Pentagon = 6.9 sq inch
Area of Hexagon = 10.4 sq inch
Step-by-step explanation:
The side length of one of the pentagons measures 2 inches and the apothem measures about 1.38 inches
Area of a Pentagon = 5 * (1/2) * Side of pentagon * apothem
= (5/2) * 2 * 1.38
= 6.9 sq inch
The side length of one of the hexagons measures 2 inches and the apothem measures about 1.73 inches.
Area of a Hexagon = 6 * (1/2) * Side of pentagon * apothem
= (6/2) * 2 * 1.73
= 10.38
= 10.4 sq inch
Answer:
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.
6.9
square inches
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.
10.4
square inches
Step-by-step explanation: