Question 1: Calculate the sum of the interior angles of a regular hexagon.

Answer: 720

Question 2: Determine the measure of each interior angle in a regular hexagon.

Answer: 120

Question 3: Calculate the measure of each exterior angle of a regular hexagon.

Answer: 60

Question 4: Find the area of a regular hexagon with side length 6 cm. (Use the formula: Area = (3√3 / 2) * side²)

Answer: 93.53

Question 5: Construct a regular hexagon on the grid with side length 4 units. Label the vertices A, B, C, D, E, F.

Answer: Student draws a regular hexagon with sides 4 units on the grid.

Question 6: A hexagon has interior angles measuring 110°, 115°, 118°, 117°, 114°, and one unknown angle. Find the measure of the unknown angle.

Answer: 106

Question 7: Calculate the length of the diagonal connecting two opposite vertices of a regular hexagon with side length 5 units.

Answer: 10

Question 8: In a real-world scenario, a hexagonal garden has sides of 3 meters. If the gardener wants to fence the entire perimeter, how much fencing is needed?

Answer: 18 meters

Question 9: A regular hexagon is inscribed in a circle of radius 8 cm. Calculate the length of each side of the hexagon.

Answer: 8√3

Question 10: Identify and correct the mistake: A student claims that all exterior angles of a regular hexagon are 90°.

Answer: Exterior angles of a regular hexagon are 60°, not 90°.

Question 11: A complex problem: Two regular hexagons, each with side length 7 cm, are joined along one side. Find the total area of the combined shape.

Answer: 2 * ( (3√3 / 2) * 7² ) ≈ 254.84 cm²

Question 12: Using the formula for interior angles, verify the sum of interior angles for a hexagon with 6 sides.

Answer: 720°