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 length of each side of a regular hexagon if its area is 259.8 cm². (Use the formula for area: (3√3/2) * s²)

Answer: 6

Question 4: Construct a regular hexagon with sides of length 4 units on the grid. Label all sides and angles.

Answer: Students draw and label accordingly

Question 5: Find the perimeter of a regular hexagon with side length 7 cm.

Answer: 42

Question 6: If a regular hexagon has an area of 150 cm², what is the length of each side? (Use s = √(2 * area / (3√3)))

Answer: 5

Question 7: A hexagon has sides of lengths 6, 6, 8, 8, 10, 10 units. Is it a regular hexagon? Explain your reasoning.

Answer: No, sides are not all equal.

Question 8: Calculate the sum of the exterior angles of any hexagon.

Answer: 360

Question 9: A regular hexagon is inscribed in a circle of radius 6 cm. Calculate the length of each side.

Answer: 6√3

Question 10: Identify and correct the mistake: A student claims that the sum of the interior angles of a hexagon is 900°. Explain the mistake and provide the correct answer.

Answer: Misreading; sum of interior angles = 720°

Question 11: Challenge: Derive the formula for the sum of interior angles of a polygon with n sides, then apply it to a hexagon.

Answer: Sum = (n-2) * 180. For hexagon, n=6, sum = 720°.