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: Construct a regular hexagon with sides of 5 cm each. Use the grid to draw and label it.

Answer: Completed hexagon with sides of 5 cm

Question 4: Find the perimeter of a regular hexagon with side length 8 cm.

Answer: 48

Question 5: A honeycomb is made up of hexagonal cells. If each cell has a side length of 2 cm, what is the area of one hexagonal cell? Use the formula: (3√3/2) × side².

Answer: 10.39

Question 6: A garden is designed in the shape of a regular hexagon. If the distance across opposite vertices (the longest diagonal) measures 12 meters, find the length of each side.

Answer: 6√3 meters

Question 7: Calculate the measure of each exterior angle in a regular hexagon.

Answer: 60

Question 8: If a regular hexagon is inscribed in a circle with radius 4 cm, what is the length of each side of the hexagon? (Hint: side length = radius).

Answer: 4

Question 9: A tile manufacturer produces hexagonal tiles with a side length of 10 cm. What is the area of each tile? Use the formula: (3√3/2) × side².

Answer: 259.8

Question 10: A regular hexagon has a perimeter of 36 cm. Calculate each side length.

Answer: 6

Question 11: Identify and correct the mistake in the following statement: 'All hexagons have four right angles.'

Answer: Hexagons have six angles, not four, and they are not necessarily right angles.

Question 12: Challenge: A regular hexagon is scaled up so that each side doubles in length. How does this affect its area?

Answer: The area increases by a factor of 4.