Regular Hexagon Calculate the Area of the regular hexagon with side length of 12 feet. 60° Step 1: Break into triangles 60° 60° 12 ft Step 2: Find the measure of the interior angles. m =(n – 2)180 m =(6 – 2)180 = 120° n 6 Step 3: The triangle cuts the angle in half, so divide the angle measure by 2. So the base angle is 60°.
Regular Hexagon Calculate the Area of the regular hexagon with side length of 12 feet. Step 4: Pull out a triangle. 60° 60° Step 5: Find the height of the triangle. 12 ft h 60° 12 60°
Regular Hexagon Calculate the Area of the regular hexagon with side length of 12 feet. Step 6: Find the area of the triangle. 60° 60° 12 ft Step 7: Find the area of the hexagon. Hexagon Area = 6(Area of one triangle) 60° 12 60° Hexagon Area = 6(36√ 3)
Regular Pentagon Calculate the Area of the regular pentagon with side length of 10 cm. 54° Step 1: Break into triangles 10 cm Step 2: Find the measure of the interior angles. (n – 2)180 m =(5 – 2)180 = 108° n 5 Step 3: The triangle cuts the angle in half, so divide the angle measure by 2. 108 = 54° Base = 2
Regular Pentagon Calculate the Area of the regular pentagon with side length of 10 cm. Step 4: Pull out a triangle. 54° 10 cm Step 5: Find the height of the triangle. h 54° 5 5 54°
Regular Pentagon Calculate the Area of the regular pentagon with side length of 10 cm. Step 6: Find the area of the triangle. 54° 10 cm Step 7: Find the area of the polygon. Pentagon Area = 5(Area of one triangle) 54° 5 5 54° Pentagon Area = 5(34. 410)